Free Printable Q3 Summative 1 abd 2

1.

A team of 18 softball players needs to

choose three players to refill the water cooler.

a)

816

b)

800

c)

4896

d)

4000

2.

A class of 30 students wants to

elect a president, vice president, secretary, and treasurer.

a)

657,700

b)

657,720

c)

27,405

d)

27,000

3.

There are 100 people at a meeting. They each shake

hands with everyone else. How many handshakes were there?

a)

4,950

b)

4,000

c)

9,900

d)

9,000

4.

A group of 15 people are going to run a race. The top 8 finishers advance to the finals.

a)

6,500

b)

259,459,200

c)

6,435

d)

259,450,222

5.

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

a)

14,190

b)

14,000

c)

85,140

d)

84,140

6.

How many 10 person committees can be chosen from a group of 15 people?

a)

3003

b)

3000

c)

2920

d)

4325

7.

Rey, Jack, Alex and Mike ran in a race of 30 people. In how many different orders can they finish the race if they won 1st, 2nd, 3rd and 4th place?

a)

27,405

b)

657,720

c)

29,724

d)

658,730

8.

There are twelve players on the basketball team. How many ways can a starting lineup of the five best players be chosen?

a)

982

b)

800

c)

792

d)

95000

9.

Eight people are going to sit at a round table. How many different ways can this be done?

a)

4050

b)

3205

c)

5040

d)

6040

10.

A committee of 7 people is to be chosen from 10 men and 12 women. How many committees can be formed if the committee is composed of 3 men and 4 women?

a)

59,400

b)

58,900

c)

55,650

d)

49,800

11.

What is $_{_{25}P_3}$ ?

a)

13,800

b)

13,500

c)

13,000

d)

12,500

12.

What is (7! - 5!) ?

a)

4000

b)

4500

c)

4920

d)

3920

13.

What is $_{12}C_3\ \times_8C_2$ ?

a)

6,160

b)

5,260

c)

6,400

d)

5,460

14.

What is $_{\ 20}C_4$ ?

a)

116,280

b)

4,750

c)

4,845

d)

3,257

15.

How many ways can 9 persons line up in a row for a pictorial?

a)

362,880

b)

360,000

c)

352,880

d)

332,800

16.

Opening a combination lock.

a)

Permutation

b)

Combination

17.

Choosing toppings for a pizza.

a)

Permutation

b)

Combination

18.

Selecting the first 5 players during the first quarter of a basketball

game.

a)

Permutation

b)

Combination

19.

Entering the password of your cellphone.

a)

Permutation

b)

Combination

20.

Choosing 2 household chores to do before dinner.

a)

Permutation

b)

Combination

21.

In how many ways can 5 students be arranged in a row for

picture taking?

a)

120

b)

102

c)

201

d)

210

22.

How many committees of five students can be formed from

seven students?

a)

14

b)

15

c)

16

d)

13

23.

How many different permutations can be made out of the

word PROBABILITY?

a)

9, 979,220

b)

9, 972, 900

c)

9, 979,002

d)

9, 979,200

24.

How many different committees of 6 can be chosen from a

group of 10 people?

a)

102

b)

120

c)

210

d)

201

25.

In how many ways can 5 persons be seated around a circular

table?

a)

24

b)

20

c)

42

d)

22

26.

What do you call the product of a positive integer n and all the positive integers less than n?

a)

powers of n

b)

n factorial

c)

n-factors

d)

multiples of n

27.

What term refers to ways of arranging things or set of objects, such that their order matters?

a)

Combination

b)

Differentiation

c)

Integration

d)

Permutation

28.

What term refers to several ways of selecting items from a large set of objects, such that their order does not matter?

a)

Combination

b)

Differentiation

c)

Integration

d)

Permutation

29.

Which of the following experiments will determine that order is IMPORTANT?

a)

Matching blouse and skirts

b)

Forming a committee from the members of a club

c)

Buying 3 out 7 designs of face mask

d)

Setting a 4-digit code in a vault

30.

Which of the following experiments will determine that order is NOT important?

a)

Selecting the top 3 winners in Math Quiz Bowl

b)

Setting a 4-digit code in a vault

c)

Buying 3 out 7 designs of face mask

d)

None of the above

31.

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

32.

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

Choosing 3 winners out of the 10 semifinalists in a certain beauty pageant for the titles Grand Winner, First Runner-up, and Second Runner-up.

a)

Permutation

b)

Combination

33.

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

Selecting 5 out of 7 available fruits in making fruit salad.

a)

Permutation

b)

Combination

34.

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

In how many ways can 10 people be seated in a circular position?

a)

Permutation

b)

Combination

35.

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

How many different committees of 5 people can be chosen from 10 people

a)

Permutation

b)

Combination

36.

What is the symbol for N Factorial?

a)

$n!$

b)

$r!$

c)

$\left(n-1\right)!$

d)

$f!$

37.

What would be the formula to be used in Permutation of n distinct objects?

a)

$n!$

b)

$_nP_r=\frac{n!}{\left(n-r\right)!}$

c)

$P=\frac{n!}{a!b!c!}$

d)

$P=\left(n-1\right)!$

38.

What would be the formula to be used in Distinguishable Permutation?

a)

$n!$

b)

$_nP_r=\frac{n!}{\left(n-r\right)!}$

c)

$P=\frac{n!}{a!b!c!}$

d)

$P=\left(n-1\right)!$

39.

What would be the formula to be used in Circular Permutation?

a)

$n!$

b)

$_nP_r=\frac{n!}{\left(n-r\right)!}$

c)

$P=\frac{n!}{a!b!c!}$

d)

$P=\left(n-1\right)!$

40.

What would be the formula to be used in Combination?

a)

$_nC_r=\frac{n!}{\left(n-r\right)!}$

b)

$_nC_r=\frac{n!}{\left(n-r\right)!r!}$

c)

$_nP_r=\frac{n!}{\left(n-r\right)!r!}$

d)

$_nP_r=\frac{n!}{\left(n-r\right)!}$

41.

What is the expanded form of ₁₀C₂?

a)

$C\left(10,\ 2\right)=\frac{10!}{\left(10-2\right)!}$

b)

$C\left(2,\ 10\right)=\frac{2!}{\left(2-10\right)!2!}$

c)

$C\left(10,\ 2\right)=\frac{10!}{\left(10-2\right)!2!}$

d)

$C\left(2,\ 10\right)=\frac{2!}{\left(2-10\right)!}$

42.

In how many ways can 10 DVDs be chosen to arrange a case with slots for 3 discs?

a)

600

b)

720

c)

840

d)

1200

43.

In how many ways can 5 people be seated around a circular table?

a)

44

b)

54

c)

14

d)

24

44.

How many distinguishable permutations of the letters of the word ELLIPSES?

a)

5,400

b)

6,720

c)

10,080

d)

20,160

45.

How many ways can Cheem invites 3 or more friends to her birthday party if she has on 5 friends?

a)

5

b)

10

c)

16

d)

50

46.

Which of the following illustrates permutation?

a)

forming a committee

b)

assigning rooms to conference participants

c)

selecting posters to hang at the corridor

d)

choosing 4 books to read from 6 owned books

Q3 Summative 1 abd 2

Total questions: 46

Worksheet time: 2hrs 39mins

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