Q.

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

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a

14

b

15

c

16

d

28

answer is A.

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Detailed Solution

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