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If the number of elements in a matrix is 60, then how many dif

Question

If the number of elements in a matrix is $60$ , then how many different order of matrix are possible?

12

6

24

none of these

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If the number of elements in a matrix is

60

, then how many different order of matrix are possible?

12 mins ago

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Text solutionVerified

Number of elements in the matrix is

60

60 = 2^{2} \cdot 3 \cdot 5

No of factors

= 12

Possible orders are

1 \times 60, 60 \times 1, 2 \times 30, 30 \times 2, 3 \times 20, 20 \times 3, 4 \times 15, 15 \times 4, 5 \times 12, 12 \times 5, 6 \times 10, 10 \times 6

Total

12

possible orders.

Hence, option A.

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Question Text	If the number of elements in a matrix is $60$ , then how many different order of matrix are possible?
Answer Type	Text solution:1
Upvotes	150