Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The coefficient of x n y n in the expansion of {(1 + x) (1 + y) (x + y)} n is -
A
B
C
D
None
Text Solution
Verified by ExpertsThe correct answer is:
B
We have,
{(1 + x) (1 + y) (x + y)} n
= (C 0 + C 1 x + C 2 x 2 + .... + C n x n ) × (C 0 y n + C 1 y n–1 + ... + C n–1 y + C n ) × (C 0 x n + C 1 x n–1 y + ….. + C n–1 x y n–1 + C n y n )
Clearly, (Coefficient of x n y n on RHS)
= 
Hence is correct answer.
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