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WorksheetsCounting Theory
Total questions: 25
Worksheet time: 25mins
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
12
60
15
30
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
23
840
42
3,628,800
How many ways ways can you arrange the letters in the word math?
15
4
24
48
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
combination
permutation
neither
arithmetic
There are six people people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?
240 ways
720 ways
480 ways
670 ways
In how many ways can you arrange seven people to be seated in a round table?
5040 ways
120 ways
720 ways
840 ways
How many distinct permutations can be made from the word INDEPENDENCE?
1763200 permutations
1664200 permutations
1863200 permutations
1663200 permutations
In how many ways can you arrange the letters of the word EDUCATION such that the vowels are always together?
120 ways
14400 ways
362880 ways
6547234 ways
The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?
The 12 school teams are participating in a quiz contest, then the number of ways the first , second and third position may be won is ________.
1, 230
1, 320
3, 210
none of these
The number of arrangements of the letters in the word 'FAILURE', so that the vowels are always coming together is ______ .
576
575
570
none of these
The number of ways the letters of the word "COMPUTER" can be rearranged is __________ .
40, 320
40, 319
40, 318
none of these
The number of 4-digit number greater than 5, 000 can be formed out of the digits 3, 4, 5, 6, and 7 (No digit is repeated). The number of such is _______.
72
27
70
none of these
The number of ways the letters of the word 'TRIANGLE' to be arranged so that the word 'angle' will be always present is _______.
20
60
24
32
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers is _____.
120
86
96
none of these
If the letters word 'DAUGHTER' are to be arranged so that vowels occupy the odd places, then number of different words are ______.
2, 880
676
625
576
The number of ways in which 7 girls form a ring is ____.
700
710
720
none of these
The number of ways in which 7 boys sit in a round table so that two particular boys may sit together is _____.
240
200
120
none of these
The number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is _____.
124
120
125
none of these
The number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is _____.
124
120
125
none of these
