Seudónimo Seudónimo
  • 15-05-2018
  • Mathematics
contestada

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

what is the coefficient of x5y5 in the expansion of xy10 class=

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MrGumby
MrGumby MrGumby
  • 17-05-2018
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. 
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chisnau chisnau
  • 11-05-2019

Answer:

The answer is option C= 252

Step-by-step explanation:

To get the coefficient of [tex]x^{5}y^{5}[/tex] we will put r = 5, in the below given general term.

The general term is : nCr [tex]x^{r}[/tex] [tex]y^{n-r}[/tex]

We get:

Coefficient is = 10C5 = [tex]\frac{10!}{5!*5!}[/tex]

= 252

So, option C is correct.

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