Question

As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing. In how many ways can this test batch be chosen?

Answer 1

Answer:

This test batch can be chosen in 2380 ways

Step-by-step explanation:

The order in which the batteries are chosen is not important. So we use the combinations formula 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.

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

In how many ways can this test batch be chosen?

4 batteries from a set of 17. So

$C_{17,4} = \frac{17!}{4!(17-4)!} = 2380$

This test batch can be chosen in 2380 ways