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Question: The sum of coefficients of the last eight terms in the expansion of (1 + x)<sup>16</sup> is equal to...

The sum of coefficients of the last eight terms in the expansion of (1 + x)16 is equal to –

A

215

B

214

C

215 –rac12rac(16)!(8!)2 rac{1}{2} rac{(16)!}{(8!)^{2}}

D

None of these

Answer

None of these

Explanation

Solution

Sum of the coefficients of last eight terms

= 16C9 + 16C10 + ….. 16C16 = 216−16C82\frac{2^{16} -^{16}C_{8}}{2}