In a box, there are 5 black pens, 3 white pens and 4 red pens. In how manyways can 2 black pens, 2 white pens and 2 red pens can be chosen?
In a box, there are 5 black pens, 3 white pens and 4 red pens. In how manyways can 2 black pens, 2 white pens and 2 red pens can be chosen? Correct Answer 180
Number of ways of choosing 2 black pens from 5 black pens in 5C2 ways.
Number of ways of choosing 2 white pens from 3 white pens in 3C2 ways.
Number of ways of choosing 2 red pens from 4 red pens in 4C2ways.
By the Counting Principle, 2 black pens, 2 white pens, and 2 red pens can be chosen in 10 x 3 x 6 =180 ways.