Permutations & Combinations

Permutation or combination: Hiring three 1st grade teachers from a group of 20 applicants.

• Permutation

• Combination

Permutation or combination: Picking two players for quarterback and linebacker from a team of 25 players.

• Permutation

• Combination

Permutation or combination: Placing three scoops of ice cream in a blender to get blended up into a milkshake.

• Permutation

• Combination

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

• permutation

• combination

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

Solve the following permutation: The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.

• 2479595

• 2140140

• 2193360

• 4386720

Solve the following permutation: The batting order for ten players on a 12 person team.

• 239018325

• 239500800

• 238985815

• 120

Solve the following combination: Amanda and Jimmy are planning trips to four countries this year. There are a total of 8 countries they would like to visit.

• 70

• 45

• 280

• 260

Solve the following combination: A group of 20 people are going to run a race. The top 9 finishers advance to the finals.

• 83980

• 819782656

• 167960

• 335920

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players (their positions don't matter)?

• 462

• 55440

• 55

• 1000