6 green marbles 9 red and 10 white marbles are in a bag in h

6 green marbles, 9 red, and 10 white marbles are in a bag. in how many ways can seven marbles be drawn from the bag if it must contain 3 green 2 red and 2 white?

Solution

6 green marbles, 9 red, and 10 white marbles are in a bag. in how many ways can seven marbles be drawn from the bag if it must contain 3 green 2 red and 2 white?

Number of ways green marbles selected = 6c3 = 20

Number of ways red marbles selected = 9c2 = 36

Number of ways white marbles selected = 10c2 = 45

The required number of ways = 20*36*45 =32400