Math miscellaneousHard

Question

The coefficients of xp and xq in the expansion of (1+x)p+q are

Options

A.equal
B.equal with opposite signs
C.reciprocals of each other
D.none of these

Solution

We have tp + 1 = p+qCpxp and tp + 1 = p+qCqxq     p+qCp = p+qCq.

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