Combinations and Permutations

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

• permutation

• combination

Permutation or Combination: Rob and Micaela are planning trips to four countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.

• permutation

• combination

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

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

Permutation or Combination: Willie and Paul are planning trips to two countries this year. There are 10 countries they would like to visit. One trip will be one week long and the other two weeks.

• permutation

• combination

solve the following permutation: Jacob and Eugene are planning trips to four countries this year. There are 14 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.

• 24024

• 20876

• 1001

• 4804

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

• 66

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

solve the following combination: Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip.

• 70

• 45

• 280

• 260