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Question: The co-efficients of x<sup>p</sup> and x<sup>q</sup> (p and q are positive integers) in the expansio...

The co-efficients of xp and xq (p and q are positive integers) in the expansion of (1 + x)p+q are

A

Equal

B

Equal with opposite signs

C

Reciprocals to each other

D

None of these

Answer

Equal

Explanation

Solution

The coefficients of xp and xq are p+qCpandp+qCqp + qC_{p}and^{p + q}C_{q}both of which will be equal