Question:medium

\( S = \{1,2,3,\dots,20\} \) is to be partitioned into four sets \( A, B, C, D \) of equal size. The number of ways is

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Partition into equal labeled sets → divide by factorial of group sizes only.
Updated On: Apr 23, 2026
  • $\dfrac{20!}{4!\cdot 5!}$
  • $\dfrac{20!}{4^5}$
  • $\dfrac{20!}{(5!)^4}$
  • $\dfrac{20!}{(4!)^5}$
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The Correct Option is C

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