Free Printable Quiz Bowl: Combinatorics

1.

How many ways can you flip a coin once?

a)

1

b)

2

c)

3

d)

4

2.

How many outcomes are there when rolling a standard die?

a)

4

b)

5

c)

6

d)

7

3.

How many ways can you pick 1 fruit from {apple, banana, orange}?

a)

1

b)

2

c)

3

d)

4

4.

How many different two-letter words can you form using {A, B}? (Repetition allowed)

a)

2

b)

3

c)

4

d)

5

5.

A bag has red, blue, and green balls. How many choices if you pick one?

a)

1

b)

2

c)

3

d)

6

6.

How many ways can you arrange 2 books on a shelf?

a)

1

b)

2

c)

3

d)

4

7.

How many digits are on a die?

a)

5

b)

6

c)

7

d)

8

8.

How many ways can you choose an ice cream flavor from {vanilla, chocolate, strawberry, mango}?

a)

2

b)

3

c)

4

d)

5

9.

How many outcomes when tossing 2 coins?

a)

2

b)

3

c)

4

d)

5

10.

How many 1-digit numbers are there?

a)

8

b)

9

c)

10

d)

11

11.

How many 2-digit numbers can be formed using {1, 2} if digits can repeat?

a)

2

b)

3

c)

4

d)

5

12.

How many ways can you arrange letters A and B?

a)

1

b)

2

c)

3

d)

4

13.

How many outcomes when rolling 2 dice?

a)

6

b)

12

c)

18

d)

36

14.

How many ways can you choose 1 color from {red, yellow}?

a)

1

b)

2

c)

3

d)

4

15.

How many ways can you pick 1 day of the week?

a)

5

b)

6

c)

7

d)

8

16.

How many different 3-digit numbers can you form with digits {1,2,3} without repetition?

a)

3

b)

6

c)

9

d)

12

17.

How many different letters are in the word "MATH"?

a)

2

b)

3

c)

4

d)

5

18.

How many different outcomes when tossing 3 coins?

a)

6

b)

7

c)

8

d)

9

19.

How many different ways to arrange 3 books?

a)

3

b)

4

c)

5

d)

6

20.

How many different pairs can you make from {A, B, C}?

a)

2

b)

3

c)

4

d)

5

21.

How many ways to choose 1 letter from "MATH"?

a)

2

b)

3

c)

4

d)

5

22.

How many possible outcomes of rolling a die and tossing a coin?

a)

6

b)

8

c)

10

d)

12

23.

How many combinations of 2 numbers can be picked from {1,2,3}?

a)

2

b)

3

c)

4

d)

5

24.

How many ways to arrange 2 students in a line from {Anna, Ben, Cara}?

a)

3

b)

4

c)

6

d)

12

25.

How many different ways can you select 1 card from a 52-card deck?

a)

26

b)

36

c)

52

d)

60

26.

How many 2-digit numbers can you form with {1,2,3} if digits don't repeat?

a)

3

b)

6

c)

9

d)

12

27.

How many ways can 4 friends sit in a row?

a)

12

b)

16

c)

20

d)

24

28.

How many outcomes when rolling 3 dice?

a)

18

b)

36

c)

72

d)

216

29.

How many ways can you pick 1 suit in a deck of cards?

a)

2

b)

3

c)

4

d)

5

30.

How many possible 2-letter codes from {A, B, C} without repetition?

a)

3

b)

6

c)

9

d)

12

31.

How many ways can you line up 2 people out of 4?

a)

6

b)

8

c)

10

d)

12

32.

How many subsets does {A, B} have?

a)

2

b)

3

c)

4

d)

5

33.

How many subsets does {1,2,3} have?

a)

6

b)

7

c)

8

d)

9

34.

How many ways to arrange letters of "TO"?

a)

1

b)

2

c)

3

d)

4

35.

How many different passwords of 1 digit can be made using digits 0-9?

a)

5

b)

9

c)

10

d)

11

36.

How many ways to pick 1 vowel from "SCHOOL"?

a)

1

b)

2

c)

3

d)

4

37.

How many letters are there in "MATHEMATICS"?

a)

9

b)

10

c)

11

d)

12

38.

How many different digits can be chosen from {0-9}?

a)

9

b)

10

c)

11

d)

12

39.

How many arrangements of 3 letters from {A, B, C, D}? (No repetition)

a)

12

b)

18

c)

20

d)

24

40.

How many possible outcomes when spinning a spinner with 4 equal sections?

a)

2

b)

3

c)

4

d)

5

41.

How many ways can 2 people sit on 2 chairs?

a)

2

b)

3

c)

4

d)

5

42.

How many ways can you choose a number from 1 to 5?

a)

3

b)

4

c)

5

d)

6

43.

How many ways to arrange 5 objects?

a)

60

b)

80

c)

100

d)

120

44.

How many ways to choose 2 letters from {A, B, C, D}? (Combinations)

a)

4

b)

5

c)

6

d)

8

45.

How many ways to choose 3 letters from {A, B, C, D, E}?

a)

8

b)

9

c)

10

d)

12

46.

How many different codes of 2 digits can be made using 0-9 (repetition allowed)?

a)

90

b)

99

c)

100

d)

120

47.

How many ways to arrange letters of "AA"?

a)

1

b)

2

c)

3

d)

4

48.

How many ways to choose 0 objects from {1,2,3}?

a)

0

b)

1

c)

2

d)

3

49.

How many ways to arrange 4 letters with repetition of 2 letters, like "MOON"?

a)

12

b)

16

c)

24

d)

48

50.

How many different orders can 3 people sit around a circular table?

a)

2

b)

3

c)

4

d)

6

51.

How many letters are there in the English alphabet?

a)

3

b)

4

c)

5

d)

6

52.

How many 3-digit numbers can be made using digits {1, 2, 3} without repetition?

a)

3

b)

6

c)

9

d)

12

53.

How many 2-letter codes can be made from {A, B, C, D} if letters cannot repeat?

a)

6

b)

8

c)

10

d)

12

54.

How many subsets does {A, B, C, D} have?

a)

8

b)

12

c)

16

d)

20

55.

How many ways can 3 students sit in 5 chairs?

a)

30

b)

40

c)

50

d)

60

56.

How many ways to choose 2 fruits from {apple, banana, orange, mango}?

a)

4

b)

5

c)

6

d)

8

57.

How many 2-digit numbers can be formed using {1, 2, 3, 4} if digits can repeat?

a)

8

b)

10

c)

12

d)

16

58.

How many 3-letter 'words' can be formed from {A, B, C} if repetition is allowed?

a)

9

b)

12

c)

18

d)

27

59.

How many subsets of {1, 2, 3, 4, 5}?

a)

16

b)

24

c)

25

d)

32

60.

How many outcomes when rolling 2 dice?

a)

24

b)

30

c)

36

d)

42

61.

How many ways to arrange 4 students in a line?

a)

12

b)

16

c)

20

d)

24

62.

How many ways to choose 3 letters from {A, B, C, D, E}?

a)

8

b)

9

c)

10

d)

12

63.

How many 2-digit odd numbers can be made using digits {1, 3, 5}?

a)

3

b)

6

c)

9

d)

12

64.

How many ways to arrange letters of the word 'DOG'?

a)

4

b)

5

c)

6

d)

7

65.

How many different ways can you select 2 students out of 6?

a)

10

b)

12

c)

15

d)

20

66.

How many subsets of {A, B, C, D, E, F}?

a)

32

b)

48

c)

56

d)

64

67.

How many ways can 2 people be chosen from 4?

a)

4

b)

5

c)

6

d)

8

68.

How many 3-digit numbers can be formed from {2, 4, 6, 8} without repetition?

a)

12

b)

18

c)

20

d)

24

69.

How many different 3-digit numbers can be made with {1, 2, 3, 4} if repetition is allowed?

a)

32

b)

48

c)

64

d)

64

70.

How many ways can 3 friends sit around a circular table?

a)

2

b)

3

c)

4

d)

6

71.

How many subsets does {1, 2, 3, 4, 5, 6}?

a)

32

b)

48

c)

64

d)

128

72.

How many different 4-digit PINs can be made with digits 0-9 if repetition is allowed?

a)

1000

b)

5000

c)

9000

d)

10000

73.

How many 2-letter words from 'CAT' without repetition?

a)

3

b)

4

c)

5

d)

6

74.

How many ways to choose 1 president and 1 vice president from 4 people?

a)

6

b)

8

c)

10

d)

12

75.

How many ways to arrange the digits 1, 2, 3, 4?

a)

12

b)

16

c)

20

d)

24

76.

How many ways to choose 2 letters from {A, B, C, D, E, F}?

a)

10

b)

12

c)

15

d)

20

77.

How many ways to arrange 5 students in a row?

a)

60

b)

80

c)

100

d)

120

78.

How many outcomes when tossing 4 coins?

a)

8

b)

12

c)

14

d)

16

79.

How many 3-digit numbers can be made using digits {1, 2, 3, 4, 5} without repetition?

a)

30

b)

40

c)

50

d)

60

80.

How many subsets of {A, B, C, D, E, F, G}?

a)

64

b)

128

c)

256

d)

512

81.

How many 3-digit even numbers can be made from {2, 4, 6}?

a)

3

b)

6

c)

9

d)

12

82.

How many 2-digit numbers can be made using digits {1, 2, 3, 4, 5} without repetition?

a)

10

b)

15

c)

20

d)

25

83.

How many ways to arrange letters in 'BOOK'?

a)

12

b)

16

c)

20

d)

24

84.

How many possible outcomes when rolling a die 3 times?

a)

36

b)

72

c)

216

d)

512

85.

How many subsets does {A, B, C, D, E}?

a)

16

b)

24

c)

32

d)

64

86.

How many ways to pick 2 numbers from 1-10?

a)

36

b)

40

c)

45

d)

50

87.

How many outcomes when spinning 2 spinners with 4 sections each?

a)

8

b)

12

c)

16

d)

20

88.

How many ways to arrange 'MOM'?

a)

3

b)

4

c)

5

d)

6

89.

How many outcomes when rolling 2 dice and tossing a coin?

a)

12

b)

24

c)

36

d)

72

90.

How many 2-digit even numbers can be made with digits {1,2,3,4}? (No repetition)

a)

4

b)

6

c)

8

d)

10

91.

How many subsets of {1,2,3,4,5,6,7,8}?

a)

128

b)

192

c)

256

d)

512

92.

How many possible orders for gold, silver, and bronze medals among 5 athletes?

a)

20

b)

30

c)

40

d)

60

93.

How many ways can 4 children sit around a circular table?

a)

6

b)

12

c)

18

d)

24

94.

How many different 3-digit PINs can be made from digits 0-9? (Repetition allowed)

a)

90

b)

900

c)

1000

d)

1200

95.

How many ways to select 3 students from 10?

a)

100

b)

110

c)

120

d)

120

96.

How many ways to arrange the letters of 'LEVEL'?

a)

12

b)

24

c)

30

d)

60

97.

How many subsets of {A, B, C, D, E, F, G, H, I, J}?

a)

512

b)

1024

c)

2048

d)

4096

98.

How many outcomes tossing 3 coins and rolling a die?

a)

12

b)

24

c)

36

d)

48

99.

How many 2-digit numbers using digits {1-5} with repetition allowed?

a)

15

b)

20

c)

25

d)

30

100.

How many possible orders of letters in 'QUIZ'?

a)

12

b)

16

c)

20

d)

24

101.

How many different 3-digit numbers can be made using digits {1, 2, 3, 4, 5} without repetition?

a)

40

b)

50

c)

60

d)

70

102.

How many subsets does {1,2,3,4,5,6,7}?

a)

64

b)

128

c)

256

d)

512

103.

How many arrangements of the word "LEVEL"?

a)

30

b)

40

c)

50

d)

60

104.

How many different 4-digit numbers can be formed using digits 1-9 without repetition?

a)

2000

b)

3024

c)

5040

d)

6561

105.

How many ways to choose 3 books out of 7?

a)

30

b)

32

c)

34

d)

35

106.

How many ways to arrange 6 students in a circle?

a)

60

b)

120

c)

240

d)

720

107.

How many 2-digit even numbers can be made with digits {1,2,3,4,5}? (No repetition)

a)

6

b)

8

c)

10

d)

12

108.

How many ways to choose president, vice president, and secretary from 6 people?

a)

120

b)

180

c)

210

d)

216

109.

How many ways to pick 2 letters from "QUIZ"?

a)

4

b)

5

c)

6

d)

7

110.

How many 3-digit PINs can be formed from digits 0-9 (repetition allowed)?

a)

90

b)

500

c)

900

d)

1000

111.

How many subsets does {A, B, C, D, E, F, G, H}?

a)

128

b)

256

c)

512

d)

1024

112.

How many ways to arrange "MOM"?

a)

2

b)

3

c)

4

d)

6

113.

How many ways to arrange 4 people in 3 seats?

a)

12

b)

18

c)

20

d)

24

114.

How many different orders can 3 medals (gold, silver, bronze) be awarded among 8 athletes?

a)

120

b)

200

c)

336

d)

560

115.

How many ways to pick 3 vowels from {A,E,I,O,U}?

a)

5

b)

6

c)

8

d)

10

116.

How many 4-digit odd numbers can be made using digits 1-9 without repetition?

a)

1000

b)

2000

c)

3024

d)

4536

117.

How many ways to seat 3 boys and 3 girls in a line alternating genders?

a)

36

b)

72

c)

144

d)

720

118.

How many subsets does {1,2,3,4,5,6,7,8,9,10}?

a)

512

b)

1024

c)

2048

d)

4096

119.

How many 2-digit numbers can be formed from digits {1,2,3,4,5,6} without repetition?

a)

20

b)

25

c)

30

d)

36

120.

How many different 3-letter "words" from {A, B, C, D} if repetition allowed?

a)

32

b)

48

c)

64

d)

64

121.

How many subsets of {A, B, C, D, E}?

a)

16

b)

24

c)

32

d)

64

122.

How many different seatings around a circular table with 5 people?

a)

12

b)

16

c)

20

d)

24

123.

How many ways to arrange letters of "BOOK"?

a)

12

b)

16

c)

20

d)

24

124.

How many ways to choose 2 different toppings from 6 pizza toppings?

a)

12

b)

15

c)

18

d)

20

125.

How many 4-digit numbers can be formed from {1-9} if repetition allowed?

a)

2000

b)

3024

c)

5000

d)

6561

126.

How many subsets of {1,2,3,4,5,6,7,8,9}?

a)

128

b)

256

c)

512

d)

1024

127.

How many 3-digit even numbers can be made from {1-9} without repetition?

a)

200

b)

300

c)

3024

d)

3456

128.

How many arrangements of "QUIZ"?

a)

12

b)

16

c)

20

d)

24

129.

How many ways can 10 students line up?

a)

120

b)

720

c)

3628800

d)

39916800

130.

How many different committees of 3 can be chosen from 8 people?

a)

50

b)

52

c)

54

d)

56

131.

How many ways to arrange "BANANA"?

a)

60

b)

120

c)

360

d)

720

132.

How many ways to order 2 flavors out of 5 ice cream flavors? (Order matters)

a)

10

b)

15

c)

20

d)

25

133.

How many 3-letter codes can be made from {A-Z} if repetition allowed?

a)

676

b)

17576

c)

18252

d)

20000

134.

How many different 2-digit numbers can be formed from {0-9} if digits cannot repeat?

a)

81

b)

90

c)

92

d)

95

135.

How many different outcomes tossing 5 coins?

a)

16

b)

24

c)

32

d)

64

136.

How many subsets does {A-J} (10 elements) have?

a)

512

b)

1024

c)

2048

d)

4096

137.

How many 3-digit palindromes can be formed (ABA form)?

a)

81

b)

90

c)

100

d)

110

138.

How many 5-digit numbers can be formed using digits {1-9}? (Repetition allowed)

a)

59049

b)

60479

c)

78125

d)

90000

139.

How many different orders for 3 letters chosen from "MATHS"?

a)

30

b)

40

c)

50

d)

60

140.

How many different phone numbers of 3 digits can be formed using 0-9 if repetition allowed?

a)

900

b)

1000

c)

1100

d)

1200

141.

How many ways to arrange the word "SCHOOL"?

a)

240

b)

360

c)

480

d)

720

142.

How many ways to seat 4 boys and 4 girls alternately in a row?

a)

288

b)

576

c)

1152

d)

2304

143.

How many subsets of an empty set {}?

a)

0

b)

1

c)

2

d)

3

144.

How many arrangements of "AAABBB"?

a)

10

b)

15

c)

20

d)

720

145.

How many ways to choose 2 suits from 4 suits of cards?

a)

4

b)

5

c)

6

d)

7

146.

How many arrangements of 7 students in 7 chairs?

a)

2400

b)

3000

c)

4000

d)

5040

147.

How many subsets of {1,2,3,4,5,6,7,8,9,10,11,12}?

a)

1024

b)

2048

c)

4096

d)

4096

148.

How many different 2-digit numbers can be made from digits 1-9 if digits cannot repeat?

a)

72

b)

81

c)

90

d)

99

Quiz Bowl: Combinatorics

Total soal: 148

Worksheet time: 1hrs 14mins

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