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

3,600

3,060

1,008

1,001

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