Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The coefficient of x 6 in the expansion of(l + x + x 2 )is
Text Solution
Verified by ExpertsThe correct answer is:
B
141
Coefficient of x 6 in (1 + x (1 +x)) 6 = 1 +
6 C 1 x (1 + x) + 6 C 2 x 2 (l + x) 2 + 6 C 3 x 3 (l + x) 3 + 6 C 4 x 4 (1 + z) 4 + 6 C 5 x 5 (1 + x) 5 + 6 C 6 x 6 (1+x) 6
The coefficient of x 6 is
6 C 3 x 3 C 3 + 6 C 4 x 4 C 2 + 6 C 5 x 5 C 1 + 6 C 6 x 6 C 0
= 20 + 90 + 30 + 1 = 141
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