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

Question

Philoid · Accepted Answer

There are 5 black and 6 red balls. So,

The number of ways of selecting 2 black balls from 5 black balls is ⁵C_2, and number of ways of selecting 3 red balls from 6 red balls is ⁶C₃ .

Thus using the multiplication principle , the total number of ways will be

⁵C₂ × ⁶C₃ ways.

Applying ⁿC_r =

⇒200 ways

Thus, the total number of ways in which 2 black and 3 red balls can be selected is 200.