Calculating Permutations and Combinations

Permutation or Combination?

There are eight seniors on the football team that are being considered as team captains.

If there will be 3 team captains, how many different ways can 3 of these seniors be

chosen as captains?

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

Solve:

There are eight seniors on the football team that are being considered as team captains.

If there will be 3 team captains, how many different ways can 3 of these seniors be

chosen as captains?

• 48

• 24

• 56

• 336

Tags

CCSS.HSS.CP.B.9

Permutation or Combination?

A committee is to be formed with 5 girls and 5 boys. There are 8 girls to choose from

and 12 boys. How many different committees can be formed?

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

Solve:

A committee is to be formed with 5 girls and 5 boys. There are 8 girls to choose from

and 12 boys. How many different committees can be formed?

• 44,352

• 848

• 792

• 184,756

Tags

CCSS.HSS.CP.B.9

Permutation or Combination?

There are 13 people on a softball team. How many ways are there to choose 10 players

to fill positions on the field?

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

SOLVE:

There are 13 people on a softball team. How many ways are there to choose 10 players

to fill positions on the field?

Tags

CCSS.HSS.CP.B.9

Permutation or Combination?

There are 13 people on a softball team. How many ways are there to choose 10 players

to travel to an away game?

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

SOLVE:

There are 13 people on a softball team. How many ways are there to choose 10 players

to travel to an away game?

Tags

CCSS.HSS.CP.B.9

Permutation or Combination?

Twelve skiers are competing in the final round of the Olympic freestyle skiing aerial

competition. In how many ways can 3 of the skiers finish first, second, and third to win

the gold, silver, and bronze medals?

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

Solve:

Twelve skiers are competing in the final round of the Olympic freestyle skiing aerial

competition. In how many ways can 3 of the skiers finish first, second, and third to win

the gold, silver, and bronze medals?

• 1320

• 3

• 6

• 220

Tags

CCSS.HSS.CP.B.9