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The least positive integer $n$ for which $^{n - 1} C_{5} +^{n - 1} C_{6} <^{n} C_{7}$ is

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Correct option is A

Since mCr−1+mCr=m+1Cr we can write the given inequality as nC613∴ the value of n is 14.

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The least positive integer n for which n−1C5+n−1C6<nC7 is

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The least positive integer $n$ for which $^{n - 1} C_{5} +^{n - 1} C_{6} <^{n} C_{7}$ is