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Question: Answered & Verified by Expert
There are $n$ white and $n$ black balls marked $1,2,3, \ldots . n$. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours is
MathematicsPermutation CombinationWBJEEWBJEE 2022
Options:
  • A $(n !)^2$
  • B (2n)!
  • C $2(n !)^2$
  • D $\frac{(2 n) !}{(n !)^2}$
Solution:
2377 Upvotes Verified Answer
The correct answer is: $2(n !)^2$
BW BW ..... $=n ! \times n !$
or
WB WB ..... $=2(n !)^2$

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