Home Maths Matrices and Determinants General In a third order determinant, each element o…
Maths Matrices and Determinants General Single Correct MCQ
Published on: August 14, 2026

In a third order determinant, each element of the first column consists of sum of two terms, each element of the second column consists of sum of three terms and each element of third column consists of sum of four terms. Then, it can be decomposed in n determinants, where n has the value

A
24
B
16
C
9
D
1

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Text Solution

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The correct answer is:
A

No. of determination corresponding to 1 st column = 2

No. of determinants corresponding to 2 nd column = 3

No. of determinants corresponding to 3 rd column = 4

Total No. = 2 × 3 × 4 = 24 from multiplication theorem So, choice is correct.

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