Question

Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 7 blue balls if each selection consists of 3 balls of each colour.

Answer 1

Answer:

7000

Step-by-step explanation:

Hi,

Given there are 6 red balls, 5 white balls and 7 blue balls.

3 red balls out of 6 can be selected in ⁶C₃ ways = 20

3 white balls out of 5 can be selected in ⁵C₃ ways = 10

3 blue balls out of 7 can be selected in ⁷C₃ ways = 35.

So, total number of ways of selecting 9 balls such that each selection

consists of 3 balls of each colour which includes selecting 3 red and

selecting 3 white and selecting 3 blue balls  are 20*10*35

=7000

Hope, it helps !