Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the coefficient of x 5 in (1 + 2x) 6 (1 – x) 7 .
Text Solution
Verified by ExpertsThe correct answer is:
6
Sol. ( 6 C 0 + 6 C 1 .2x + 6 C 2 2 2 x 2 ----- 6 C 6 2 6 x 6 )
( 7 C 0 – 7 C 1 x + 7 C 2 x 2 ... + 7 C 7 x 7 ) coeffi.of x 5 =
6 C 0 × 7 C 5 – 6 C 1 × 2× 7 C 4 + 6 C 2 × 2 2 × 7 C 3 – 6 C 3 × 2 3 × 7 C 2 + 6 C 4 2 4 × 7 C 3 – 6 C 5 2 5 × 7 C 1 + 6 C 6 × 2 6 × 7 C 0 = 171
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