Question

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k) true or false

Answer 1

Answer:

False

Step-by-step explanation:

The given statement is:

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)

This is a false statement

Reason:

When we do expansion of (x+y)^n by binomial theorem we get the following solution:

(x+y)^n = nCk x^k y^n-k

This shows that the coefficient of  x^ky^n-k  is nCk which is equivalent to n!/(n-k)! k!

Therefore it is a false statement....