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Multinomial Expansion

The Coefficie...

Question

The Coefficient of $a^{12} b^{3} c^{5}$ in the expansion of $(a + b + c)^{11}$ is

\frac{11}{2} 35

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0

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\frac{11}{2} 34

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\frac{11}{3} 35

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Solution

The correct option is C $0$
In the expansion of $(a + b + c)^{11}$ the highest power of $a$ is $11$
The expansion doesnt contain the term $a^{12} b^{3} c^{5}$ so the coefficient is $0$

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Similar questions

\frac{3 + \sqrt{5}}{2 \sqrt{5} + 3} = a + b \sqrt{5}

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