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10.2 Combinations

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

A box contains 5 color pencils. How many different sets of 3 pencils can be chosen from it?

a)

10

b)

4

c)

6

d)

20

2.

 8C3_8C_3  

(a)  

3.

 10C6_{10}C_6  

(a)  

4.

Find the number of possible 5-card hands that contain 4 kings and 1 other card. Assume a standard 52-card deck.

(a)  

5.

Find the number of possible 5-card hands that contain 5 hearts or 5 diamonds. Assume a standard 52-card deck.

(a)  

6.

Dave and Buster's has 20 new arcade games. You want to play at least 14 of them. How many different combinations can you play?

(a)  

7.

Student Government intends to elect 5 representatives from the Senior Class of 2021. If you were wanted to calculate the total number of ways the representations were to be chosen, would you compute a combination, or permutation?

a)

combination

b)

permutation

c)

either one will give the same answer

d)

not enough information to say

8.

The chess club has 12 members, and they wish to elect a president and vice president. If you wished to compute the number of ways the students could be chosen for these two positions, which operation would you use?

a)

combination

b)

permutation

c)

either one

d)

not enough information to tell

9.

 11C11_{11}C_{11}  

a)

0

b)

11

c)

1

d)

cannot be calculated

10.

In the game of blackjack, you are dealt 2 cards. How many different combinations of hands could you be dealt from a standard 52 card deck?

a)

52

b)

104

c)

22100

d)

1326