FCP, Permutation, and Combinations Homework

Find the number of possible options: A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.

• 16

• 4

• 8

• 12

Find the number of outcomes: The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5 p.m.

• 9

• 1

• 27

• 6

Permutation or Combination?

A team of 8 basketball players needs to choose a captain and co-captain.

• Permutation

• Combination

Permutation or Combintion?

Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

• Permuation

• Combination

Permutation or Combination?

The batting order for seven players on a 12 person team.

• Permutation

• Combination

Permutation or Combination?

There are 45 applicants for three Computer Programmer positions.

• Permutation

• Combination

Find the number of options: The student body of 10 students wants to elect a president, vice president, secretary, and treasurer.

• 3628800

• 40

• 210

• 5040

Answer explanation

This is a Permutation

Find the number of options for which students will sit in the car: 5 out of 13 students will ride in a car instead of a van

• 154440

• 1287

• 65

• 120

Answer explanation

This is a Combination

There are 10 finalists in a figure skating competition.  How many ways can gold, silver and bronze medals be awarded?

• 720

• 120

• 30

• 6

Answer explanation

This is a Permutation

A group of seven students working on a project needs to choose two from their group to present the group’s report to the class.  How many ways can they choose two students?

• 14

• 21

• 42

• 3

Answer explanation

This is a Combination