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Question

If 100C3=161700, then 100C97 is equal to___.

A
53,900
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B
40,425
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C
1,61,700
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D
16,17,000
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Solution

The correct option is D 1,61,700
A properties of combinations is
nCr=nCr1
So, 100C97=100C10097=100C3=1,61,700

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