Question 476093
You are correct. Good job. You can verify this by plugging in n=8 and evaluating (n+2) C n to get



(n+2) C n


(8+2) C 8


10 C 8


(10!)/(8!(10-8)!)


(10*9*8!)/(8!2!)


(10*9)/(2*1)


90/2


45


So this verifies the answer.