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The coefficient of \( x^4 \) in the expansion of \( (1 + x + x^2 + x^3)^n \) is

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In multinomial expansions, use the relationship \( i_2 + 2i_3 + 3i_4 = 4 \) to find the terms that contribute to the required power of \( x \).

Updated On: Apr 22, 2026

\( nC4 \)
\( nC4 + rC2 \)
\( nC4 + rC2 + nC4 \cdot nC2 \)
\( nC4 + rC2 + nC1 \cdot C2 \)

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The Correct Option is D

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