Permutations or Combinations

Permutation or Combination?

A relay race team has 4 runners who run different parts of the race. There are 16

students on your track team. How many different ways can your coach select students to

compete in the race?

• Permutation

• Combination

Solve:

A relay race team has 4 runners who run different parts of the race. There are 16

students on your track team. How many different ways can your coach select students to

compete in the race?

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

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

SOLVE:

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

to travel to an away game?

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

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

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

Determine whether the question would be a permutation or combination: Thirty-two students have applied to serve on student council, where all the positions are the same. There are only 6 openings. How many ways could the openings be filled?

• Combination

• Permutation

• Neither

Determine whether the question would be a permutation or combination: Twenty students are running for 3 different positions on student council. In how many ways can the 3 positions be filled?

• Permutation

• Combination