Question:
The coefficient of \(x^4\) in the expansion of \((1 + x + x^2 + x^3)^{11}\) is:
The coefficient of \(x^4\) in the expansion of \((1 + x + x^2 + x^3)^{11}\) is:
Show Hint
Use generating functions for multinomial expansions.
Updated On: Apr 2, 2026
- 440
- 770
- 990
- 1001
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Write coefficient of \(x^4\) in: \[ (1-x^4)^{11}(1-x)^{-11} \]
Step 2: Simplifying gives coefficient \(=440\).
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