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Question

# 7 white balls and 3 black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

A
12
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B
715
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C
215
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D
13
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Solution

## The correct option is C 715The number of ways of placing 3 black balls at 10 places is 10C3.The number of ways in which two black balls are not together is equal to the number of ways of choosing 3 places marked with X out of eight places.XWXWXWXWXWXWXWXThis can be done in 8C3 ways. Thus, probability of the required event is 8C310C3=8×7×610×9×8=715

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