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closed as a duplicate of: GATE CSE 2023 | Question: 38

How many permutations of $U$ separate $A$ from $B?$

  1. $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k!)^2$
  2. $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k)!(n!)$ 
  3. $n!$
  4. $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^2$
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Answer: Option A.

Detailed Video Solution: Permutation question, Separating Permutations of A,B

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