Counting Principle, Permutations, and Combinations

Front

What does 'n' represent in nPr and nCr?

Back

Total number of people/things you can pick from.

Front

What does 'r' represent in nPr and nCr?

Back

Number of choices that can be made.

Front

What is a permutation?

Back

An arrangement of objects where the order matters.

Front

What is a combination?

Back

A selection of objects where the order does not matter.

Front

How many ways can you arrange 3 books from a shelf of 5 books?

Back

60 ways (5P3 = 5!/(5-3)!)

Front

How many ways can you choose 2 fruits from a basket of 4 different fruits?

Back

6 ways (4C2 = 4!/(2!(4-2)!))

Front

What is the formula for permutations?

Back

nPr = n! / (n - r)!.

Front

What is the formula for combinations?

Back

nCr = n! / (r!(n - r)!).

Front

If you have 4 different shirts and want to wear 2, how many different outfits can you create?

Back

12 outfits (4P2 = 4!/(4-2)!)

Front

In how many ways can you select a committee of 3 from a group of 10 people?

Back

120 ways (10C3 = 10!/(3!(10-3)!)).