Question

What is the coefficient of x^5y^5 in the expansion of (x+y)^10

Answer 1

C. 252

The coefficient of the term would be 252. Make sure you combine after every step to be sure that you group all like terms.

Answer 2

The answer is option C= 252

Explanation:

To get the coefficient of
`x^(5)y^(5)` we will put r = 5, in the below given general term.

The general term is : nCr
`x^(r)`
`y^(n-r)`

We get:

Coefficient is = 10C5 =
`(10!)/(5!*5!)`

= 252

So, option C is correct.