A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected?

Explanation

2 black balls can be selected from 5 black balls in ` ^5 C_2` ways and 3 red balls can be selected from 6 red balls in ` ^6 C_3` ways.

`therefore 2` black and 3 red balls can be selected in ` ^5 C_2 xx ^6 C_3=200`, ways