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The largest power of 2 that divides 200!/100! is (a) 98 (b) 99 (c) 100 (d) 101

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The largest power of 2 that divides 200!/100! is

(a) 98

(b) 99

(c) 100

(d) 101

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Answer is : (c) 100

Exponent of 2 in 200!.

∴ The largest power of 2 is 100.

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