Combinatorics: Counting Principle, Permutations, Combinations

Front

What is the Counting Principle?

Back

The Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the total number of outcomes for both events is m * n.

Front

How many permutations are possible for arranging 3 books on a shelf?

Back

6

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n - r)!

Front

What is a permutation?

Back

A permutation is a list of items in which order is relevant.

Front

How many ways can you choose 3 side dishes from 9 options?

Back

84

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r! * (n - r)!)

Front

If an event has 5 outcomes and another event has 2 outcomes, what is the total number of unique combinations?

Back

10

Front

What does 'n!' represent in permutations and combinations?

Back

'n!' represents the factorial of n, which is the product of all positive integers up to n.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of items, while combinations do not.

Front

How many ways can you arrange 4 different letters?

Back

24 (4!)