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24 October, 23:59

Calculate the coefficient of x14y4 in the expansion of (x + y) 18.

3,600

3,060

1,008

1,001

+4
Answers (1)
  1. 25 October, 00:16
    0
    the coffefficent is 365

    Step-by-step explanation:

    k x^ (n-m) * y^m

    n = 14, m = 3

    [ n! / (n-m) !*m! ] * (x^11) (y^3)

    [ 14! / (11!) (3!) ] x^11*y^3

    = (14*13*12*11!) / (11!) (3!) [ x^11*y^3]

    = (14*13*12) / (3*2*1) [x^11*y^3]

    = (2184/6) x^11*y^3

    = 364 x^11 y^3
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