12-4 Permutations and Combinations

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

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

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: Kayla and Chelsea are planning trips to three countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.

• 80

• 10

• 60

• 85

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 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

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: Selecting which seven players will be in the batting order on a 9 person team.

• 36

• 30

• 72

• 18

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination