Question

The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives

Answer 1

She can choose her electives in 20 ways.

Explanation:

The order in which she chooses the courses is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

How many ways can she choose her electives?

3 electives from a set of 6. So

`C_(6,3) = (6!)/(3!(6-3)!) = 20`

She can choose her electives in 20 ways.