## (Math Quiz 10 – CT) In the expansion ({left( {x – y} right)^{11}}), the coefficient of the containing term ({x^8}. {y^3}) is

• Question:

In the expansion $${\left( {x – y} \right)^{11}}$$, the coefficient of the term containing $${x^8}. {y^3}$$ is

Reference explanation:

$${T_{k + 1}} = C_{11}^k. {x^{11 – k}}. {\left( { – 1} \right)^k}. {y^k}$$
Then the coefficient of the term containing $${x^8}.{y^3}$$ is: $$– C_{11}^3$$