(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:

    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: \( – C_{11}^3\)


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