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The coefficient of t^4 in the expansion ...

The coefficient of `t^4` in the expansion of `((1 - t^6)/(1-t))^(3)` is 3k. The value of k is _________.

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Knowledge Check

  • If t^2-4t+1=0 , then the value of t^(3)+(1)/(t^3) is

    A
    44
    B
    48
    C
    52
    D
    64

  • If T_(0), T_(1), T_(2),...,T_(n) represent the terms in the expansion of (x+a)^(n) , then the value of (T_(0)-T_(2)+T_(4)-T_(6)+...)^(2) + (T_(1)-T_(3)+T_(5)-...)^(2) is

    A
    `(x^(2)-a^(2))^(n)`
    B
    `(x^(2)+a^(2))^(n)`
    C
    `(a^(2)-x^(2))^(n)`
    D
    none of these

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