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Question

There are (n + 1) white and (n + 1) black balls each set numbered 1 to (n + 1). The number of ways in which the balls can be arranged in row so that the adjacent balls are of different colours is-

  1. (2n + 2)!  
  2. (2n + 2)! × 2  
  3. (n + 1)! × 2  
  4. 2{(n + 1)!}2  

The correct answer is: 2{(n + 1)!}2

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