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Question: Sum of last 20 coefficients in expansion of (1 + x)<sup>39</sup> when expanded in ascending powers o...

Sum of last 20 coefficients in expansion of (1 + x)39 when expanded in ascending powers of x is

A

220

B

238

C

40C20 –219

D

40C20 + 218

Answer

238

Explanation

Solution

S = 39C39 + 39C38 + ........+39C20

39C0+ 39C1 + ....+39C19) + (39C20 +...+39C39) = 239

S + S = 239

Ž S = 238