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}

a

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In each of the following determine rational numbers a and b :

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(ii) $\frac{4 + \sqrt{2}}{2 + \sqrt{2}} = a - \sqrt{b}$

(iii) $\frac{3 + \sqrt{2}}{3 - \sqrt{2}} = a + b \sqrt{2}$

(iv) $\frac{5 + 3 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3}$

(v) $\frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b \sqrt{77}$

(vi) $\frac{4 + 3 \sqrt{5}}{4 - 3 \sqrt{5}} = a + b \sqrt{5}$

If $\frac{3 + \sqrt{5}}{2 \sqrt{5} + 3} = a + b \sqrt{5}$ , then the values of irrational numbers $a$ and $b$ are

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