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Question

The largest non-negative integer k such that 24k divides 13! is.


A

2

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B

3

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C

4

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D

5

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Solution

The correct option is B

3


24K(23×3)K

Exponent of 2 in 13!

[132]+[1322]+[1323]=10

Exponent of 3 in 13!

[133]+[1332]=5

So (23×3)3

Hence, K=3


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