From 5 Green 9 Red and 3 Yellow apples distinguishable only

From 5 Green, 9 Red and 3 Yellow apples, distinguishable only by color, how many selections of apples are possible if 2 of each color apple are selected?

Solution

For Green, there are 5C2 = 10 ways.

For red, there are 9C2 = 36 ways.

For yellow, there are 3C2 = 3 ways.

Thus, the total number of such selections (2 of each color) is 10 + 36 + 3 = 49 such ways. [ANSWER]