Question

In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?

Answer 1

161700 ways.

Explanation:

The order in which the transistors are chosen is not important. This means that 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) = (n!)/(x!(n-x)!)`

In this question:

3 transistors from a set of 100. So

`C_(100,3) = (100!)/(3!(100-3)!) = 161700`

So 161700 ways.