A city council consists of seven Democrats and five Republicans. If a committee of six people is​ selected, find the probability of selecting two Democrats and four Republicans.

Answer 1

First we have to find how many ways to choose 2 democrats from 7 which is 7C2

and 4 republicans from 5 which us 5C4

Then just multiply the two together to get the number of ways the two can be combined 7C2==21

5C4= 5

so total ways to combine is 21x 5=105