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Q.

There are n distinct white and n distinct black balls. If the number of ways of arranging them in a row so that neighboring balls are of different colors is 1152, then value of n is ________.

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answer is 4.

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Detailed Solution

Number of arrangements are 2 n! n!Given that 2 n! n! = 1152or (n!)2=576or n! = 24or n = 4

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There are n distinct white and n distinct black balls. If the number of ways of arranging them in a row so that neighboring balls are of different colors is 1152, then value of n is ________.