Let = (4!)! (4!)^ 3! and = (5!)! (5!)^ 4! . Then:

JEE Main 2024 Mathematics question

Let and . Then:

Answer: (A)

α = 24!/(4!)⁶ is the number of ways to divide 24 different objects among 6 persons, 4 each, so α is a natural number.

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Question ID VK-016643