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Combination of Atleast One Thing from n Things When All Are Not Different

The number of...

Question

The number of divisors of 9600 including 1 and 9600 are

A

60

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B

58

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C

48

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D

46

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Solution

The correct option is C 48
$9600 = 2^{7} \times 3 \times 5^{2}$
Number of divisors $= 8 \times 2 \times 3 = 48$

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