Question

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.

Answer 1

There are 5 black and 6 red balls in the bag.

2 black balls can be selected out of 5 black balls in ⁵C₂  ways and 3 red balls can be selected out of 6 red balls in ⁶C₃ ways.Thus, by multiplication principle, required number of ways of selecting 2 black and 3 red balls