Question

From a group of 15 men and 12 women, how many ways can you select a group of 2? Answer:

Answer 1

The total number of ways this can be done together is 105 × 66 = 6930

This is a combination question question it has to do with selection.

In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;

15C2 = 15!/(15-2)!2!

15C2 = 15!/13!2!

15C2 = 15×14/2

15C2 = 105 ways

Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;

12C2 = 12!/(12-2)!2!

12C2 = 12!/10!2!

12C2 = 12×11/2

12C2 = 66 ways

The total number of ways this can be done together is 105 × 66 = 6930

Learn more about combination here: brainly.com/question/14492965