True or false The coefficient of (x^ (k)) (y^ (n-k)) in the expansion of (x+y) ^n equals (n choose k)

This is under the binomial theorem. A binomial theorem is an equation that predicts the sequence when a binomial is raised to certain power. The general form of the equation is (a+b) ^n. The equation for the binomial theorem would be

nCk a^ (n-k) b^k, where k is the kth term of the expanded form, n is the nth power. The coefficient of the term in the binomial expansion is nCk or n!/k! (n-k) !.