A bag contains 5 blue 4 red and 5 green marbles Four marbles

A bag contains 5 blue, 4 red, and 5 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red marbles?

A. 60

B. 6

C. 1080

D. 270

Solution

bag contains 5 blue, 4 red, and 5 green marbles
Four marbles are drawn at random from the bag = 14 C 4

different samples are possible which include exactly two red marbles = 4 C 2 * 10 C 2 = nCr(4,2)*nCr(10,2) = 270