Please write the code in Java

15." The numbers in the expansion (0)6)(0) (x+y)* = C)*** (1) **** (*)***+.+(-1)-*" +C) are called binomial coefficients. For example, (x + y)' = x + 2xy + y, so = 1. *)(3) -(1)-2-(3) - (x+y= + 3xy + 3xy + y, so (3) = ( 3 )=3 (3) (x + y)* = x* + 4x*y+6x?y2 + 4xy' +y*, so (6) --(1)--(1)--)--(4=.. (%) is pronounced n-choose-k and sometimes written as C(, k). (0) =(-1) = 0-6-1)-(07") Binomial coefficients have the following properties: for any n20, =1, and for any integers n and k, such that 0