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Question

If x+y=1, then nr=0rnCrxr.ynr=

A
1
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B
n
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C
nx
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D
ny
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Solution

The correct option is A nx
nr=0rnCrxrynr
=nr=0rn!(nr)!r!xrynr
=nx(y+x)n1
=nx(1)n1 ... given in the above question
=nx
Hence, the answer is Option C

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