Front

What is the difference between a permutation and a combination?

Back

Permutation - the order matters; Combination - the order does not matter.

Front

In how many ways can a member choose 8 books from a list of 40?

Back

This is a combination problem, calculated as 40 choose 8.

Front

What is the probability of selecting 3 women and 1 man from a group of 10 men and 6 women?

Back

The probability is 2/91.

Front

How many different ways can first, second, and third prize be awarded among 6 organizations?

Back

There are 120 different ways.

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits can be made.

Front

How do you calculate the total number of lunch combinations from 6 sandwiches, 4 chips, and 5 beverages?

Back

Total combinations = 6 * (4 choose 2) * 5 = 180.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n-r)!) where n is the total items, r is the items chosen.

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n-r)! where n is the total items, r is the items arranged.

Front

Define 'factorial' in mathematics.

Back

Factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n.

Front

What is the significance of the binomial coefficient in combinations?

Back

It represents the number of ways to choose r elements from a set of n elements.