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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 neighbouring 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 2n!n!Given that 2n!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 neighbouring balls are of different colors is 1152, then value of n is