FCP, Permutations,& Combinations
Order matters.
What is a permutation?
Order does NOT matter.
What is a combination?
There are ten questions on Jack’s science quiz: six multiple choice questions with four choices each and four true/false. How many ways can he answer the questions?
Is this a permutation, combination, or fundamental counting principle?
65,536. Fundamental counting principle.
46 X 24
A team of 17 softball players needs to choose three players to refill the water cooler. Is this a permutation, combination, or fundamental counting principle?
680. Combination 17C3
Marlena must answer 3 out 8 essay questions on her writing quiz. How many ways can she choose three? Is this a permutation, combination, or fundamental counting principle?
56. Combination.
8C3
Josh must submit 4 paintings as a part of his application to art school. If he has 25 to choose from, how many ways can he pick 4? Is this a permutation, combination, or fundamental counting principle?
12,650. Combination. 25C4
The Grandview High School Band plans to play 6 pieces of music in their upcoming concert. How many ways can they arrange the order of their performance? Is this a permutation, combination, or fundamental counting principle?
720. Permutation.
6!
The field hockey coach choose players to put away equipment after each practice. If there are 16 players on the team, how many ways can she choose 5? Is this a permutation, combination, or fundamental counting principle?
4,368. Combination.
A committee must be formed with 2 teachers and 3 students.
There are 5 teachers and 8 students available.How many different committees can be formed?
Is this a permutation, combination, or fundamental counting principle?
560. Combination.
5C2 X 8C3
How many different arrangements can be made using the letters in the word BANANA?
Is this a permutation, combination, or fundamental counting principle?
60. Permutation.
6!/3!2!