Question
Question: In a third order determinant, each element of the first column consists of sum of two terms, each el...
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
Answer
24
Explanation
Solution
No. of determination corresponding to 1st column = 2
No. of determinants corresponding to 2nd column = 3
No. of determinants corresponding to 3rd column = 4
Total No. = 2 × 3 × 4 = 24 from multiplication theorem So, choice (1) is correct.