Snow Day 2/19: Perm and Comb

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter.

Front

How do you calculate permutations?

Back

Permutations can be calculated using the formula nPr = n! / (n - r)!, where n is the total number of items, and r is the number of items to arrange.

Front

How do you calculate combinations?

Back

Combinations can be calculated using the formula nCr = n! / (r! * (n - r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is 7P2?

Back

7P2 = 7! / (7 - 2)! = 42.

Front

What is 10! (10 factorial)?

Back

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

Front

How many ways can 5 vases be arranged from 8?

Back

The number of ways to arrange 5 vases from 8 is calculated as 8P5 = 6720.

Front

What is the difference between permutations and combinations?

Back

The key difference is that permutations consider the order of selection, while combinations do not.

Front

How many ways can 3 officers be chosen from 10 members?

Back

The number of ways to choose 3 officers (captain, co-captain, secretary) from 10 members is 10P3 = 720.

Front

What is the formula for calculating the number of arrangements of n items?

Back

The formula is n! (n factorial), which is the product of all positive integers up to n.