Question

Coefficient of $a^4{b}^5{c}^3$ in the expansion of $(a+b+c{)}^{10}$ is

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The correct option is D 0

In the expansion of $(a+b+c{)}^{10}$, the terms appearing will have the sum of indices equal to $10$.

Here the term is given to be $a^4{b}^5{c}^3$, then the sum of the indices of the term is $4+5+3=12$.

And there is not term in the expansion which will have the term $a^4{b}^5{c}^3$.

So the required co-efficient is $0$.