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

give more details

step-by-step explanation: