**Question:**

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

**Reference explanation:**

**Correct Answer: GET**

The general term in the above expansion is

\({T_{k + 1}} = C_{11}^k. {x^{11 – k}}. {\left( { – 1} \right)^k}. {y^k}\)

Ask the problem to occur when k = 3.

Then the coefficient of the term containing \({x^8}.{y^3}\) is: \( – C_{11}^3\)

ADSENSE

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