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Question

If nC12=nC8, then find the value of nC17.

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Solution

We have for nCr=nCnr.
Now given
nC12=nC8
or, nCn12=nC8
n12=8
or, n=20.
Then nC17
=20C17
=20C2017
=20C3
=20.19.183.2.1
=20.57
=1140

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