Exit Ticket: Permutation v. Combination

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 does 5! (5 factorial) equal?

Back

5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

What does 0! equal?

Back

0! = 1 by definition.

Front

What is the difference between permutation and combination?

Back

The key difference is that in permutations, the order of selection matters, while in combinations, it does not.

Front

If there are 10 students and you want to select 3 for a team, how many combinations are there?

Back

The number of combinations is calculated as 10C3 = 120.

Front

If you have 4 books and want to arrange them on a shelf, how many permutations are there?

Back

The number of permutations is 4! = 24.

Front

What does 10P5 represent?

Back

10P5 represents the number of ways to arrange 5 items selected from 10 distinct items.