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Worksheets

P & C

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

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

2.

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

3.

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

a)

336

b)

56

c)

24

4.

In how many different ways can the letters of MISSISSIPPI be arranged?

a)

11P11

b)

11! / (4!∙4!∙2!)

c)

11! / 11

d)

( 11-1)!

5.

Find the number of ways in which 8 beads can be arranged to form a necklace.

a)

1, 350 ways

b)

2,520 ways

c)

5,040 ways

d)

40,320 ways

6.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
7.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
8.

What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

a)

100

b)

60

c)

30

d)

20

e)

None of these

9.

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -

a)

216

b)

243

c)

215

d)

729

e)

728

10.

If the letters of the word "SIBPOP" are written in all possible orders and arranged as dictionary, then the rank of the word "IBPSPO" is ?

a)

69

b)

66

c)

67

d)

68