Combinations

Multiple Choice

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

• 120

• 6

• 18

• 20

Multiple Choice

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

• 210

• 5.040

• 6

• 35

Fill in the Blanks

Calculate ₈C_5.

Multiple Choice

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

• 10

• 60

• 8

• 15

Fill in the Blanks

Calculate $_7C_2$ . 

Multiple Choice

Which is the correct set up for $$_{32}C_7$$ . 

• $$\frac{25!}{32!7!}$$  

• $$\frac{32!}{25!}$$  

• $$\frac{32!}{25!7!}$$  

• $$\frac{7!}{25!}$$  

Multiple Choice

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

Multiple Choice

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

• 95 040

• 792

• 60