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.

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