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#mathematics
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#probability
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Four balls are simultaneously drawn from a bag containing three green balls and six blue balls,Find out how many combinations of drawing are possible if;there are exactly two green balls ?

Feb 15

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Feb 15

To find the number of combinations of drawing exactly two green balls, we can use the combination formula.

The number of ways to choose 2 green balls from 3 green balls is given by the combination formula: C(3, 2) = 3! / (2!(3-2)!) = 3.

The number of ways to choose 2 blue balls from 6 blue balls is given by the combination formula: C(6, 2) = 6! / (2!(6-2)!) = 15.

Therefore, the total number of combinations of drawing exactly two green balls is 3 * 15 = 45.

The number of ways to choose 2 green balls from 3 green balls is given by the combination formula: C(3, 2) = 3! / (2!(3-2)!) = 3.

The number of ways to choose 2 blue balls from 6 blue balls is given by the combination formula: C(6, 2) = 6! / (2!(6-2)!) = 15.

Therefore, the total number of combinations of drawing exactly two green balls is 3 * 15 = 45.