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A box contains 4 red balls,5 green balls,and 3 yellow balls. In how many ways can 6 balls be chosen if there should be balls of each color?​.

Sagot :

Answer:

Explanation:

There are 5C2 = 10 ways of getting 2 reds

There are 7C2 = 21 ways of getting 2 greens

There are 6C2 = 15 ways of getting 2 yellows

Hence, there are 10 * 21*15 = 3150 ways of picking 6 balls under this restriction

If there were no restrictions then there would be 18C6 = 18564 ways of picking 6 Ball's