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JEE MATHEMATICS MCQ: PERMUTATIONS

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The set

S=\{1,2,3, \ldots, 12\}

to be partitioned into three sets

A, B, C

of equal size. Thus,

A \cup B \cup C=S, A \cap B=B \cap C=A \cap C=\phi

. The number of ways to partition

S

, is

View answer and explanation

Correct option: C

\frac{12 !}{(4 !)^3}

The correct answer is C (

\frac{{12 !}}{{(4 !)^3}}

) because it represents the number of ways to divide 12 distinct objects into 3 groups of 4, where the order of the groups doesn't matter.

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