NDA 2021 Mathematics question

How many distinct matrices exist with all four entries taken from ?

(A)16
(B)24
(C)32
(D)48Correct

Answer: (D)

Solution

A matrix with four entries can have order , or (the factor pairs of 4), i.e. 3 possible orders. For each order, every one of the 4 entries can be filled

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Question ID VK-033658