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

It is given that bag contains 5 black and 6 red balls.

So, 2 black balls is selected from 5 black balls in `5_(C_2)` ways.

and 3 red balls are selected from 6 red balls in `6_(C_3)` ways.

`` Total number of ways in which 2 black and 3 red balls are selected `= 5_(C_2) xx 6_(C_3) = 10 xx 20 = 200`