In A Box, There Are 5 Black Pens, 3 White Pens And 4 Red Pens. In How

1.	In A Box, There Are 5 Black Pens, 3 White Pens And 4 Red Pens. In How Many Ways Can 2 Black Pens, 2 White Pens And 2 Red Pens Can Be Chosen?
Answer» Number of ways of CHOOSING 2 black PENS from 5 black pens in 5C<SUB>2</sub>ways. Number of ways of choosing 2 white pens from 3 white pens in 3C<sub>2</sub>ways. Number of ways of choosing 2 red pens from 4 red pens in 4C<sub>2</sub>ways. 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. Number of ways of choosing 2 black pens from 5 black pens in 5C<sub>2</sub>ways. Number of ways of choosing 2 white pens from 3 white pens in 3C<sub>2</sub>ways. Number of ways of choosing 2 red pens from 4 red pens in 4C<sub>2</sub>ways. 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.

In A Box, There Are 5 Black Pens, 3 White Pens And 4 Red Pens. In How Many Ways Can 2 Black Pens, 2 White Pens And 2 Red Pens Can Be Chosen?

Answer»

Number of ways of CHOOSING 2 black PENS from 5 black pens in 5C2ways.

Number of ways of choosing 2 white pens from 3 white pens in 3C2ways.

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.

Number of ways of choosing 2 black pens from 5 black pens in 5C2ways.

Number of ways of choosing 2 white pens from 3 white pens in 3C2ways.

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.