Quant Boosters - Soumil Jain, CAT Quant 100 percentiler, IIM Calcutta - Set 4


  • IIM Calcutta | IIT Kanpur | CAT Quant 100 percentiler


    The sum of the coefficients of the polynomial (x – 1)^7 (x – 2)^2 (x – 4) is
    (a) 0
    (b) 16
    (c) –16
    (d) None of these

    Putting x = 1 in the expansion (1+x)^n = nC0 + nC1 x + nC2 x^2 +...+ nCx x^n, we get,
    2^n = nC0 + nC1 x + nC2 +...+ nCn.
    We kept x = 1, and got the desired result i.e. ∑nr=0 Cr = 2^n


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