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

Answer:

She can choose her electives in 20 ways.

Step-by-step 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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many ways can she choose her electives?

3 electives from a set of 6. So

$C_{6,3} = \frac{6!}{3!(6-3)!} = 20$

She can choose her electives in 20 ways.