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Find the number of ordered quadruples

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 5 :-

May 25, 2020
algebra

Problem Statement

Compute the number of ordered quadruples of positive integers (a,b,c,d)(a,b,c,d) such that a!⋅b!⋅c!⋅d!=24!a!\cdot b!\cdot c!\cdot d!=24!
[*] 4 [*] 4! [*] 444^4 [*] None of these
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