Combinations & Permutations

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Tags

CCSS.HSS.CP.B.9

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220
• 36
• 1320
• 100

Tags

CCSS.HSS.CP.B.9

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

Tags

CCSS.HSS.CP.B.9

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342
• 1/342
• 171
• 1/171

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

Tags

CCSS.HSS.CP.B.9

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

• Permutation
• Combination

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

Permutation or Combination: The student body of 30 students wants to elect a president, vice president, secretary, and treasurer.

• permutation

• combination

Tags

CCSS.HSS.CP.B.9

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• permutation

• combination

Tags

CCSS.HSS.CP.B.9

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

• permutation

• combination

Tags

CCSS.HSS.CP.B.9