elizabethpaulin1
elizabethpaulin1 elizabethpaulin1
  • 11-08-2017
  • Mathematics
contestada

What if the coefficient of x^6y^4 in the expansion of (x+y)^10
A.) 1
B.) 5
C.) 210
D.) It does not exist.

Respuesta :

sdbeltran17
sdbeltran17 sdbeltran17
  • 11-08-2017
C..............................................
Answer Link
AlonsoDehner AlonsoDehner
  • 19-03-2019

Answer:

C) 210

Step-by-step explanation:

Using binomial expansion for

[tex](x+y)^10[/tex]

we have general term

[tex]T_{r+1} =10Cr x^{10-r} y^r,r=0,1,2,3....10[/tex]

Now we want the term which has 10-r =6 or r =4

Hence coefficient would be

10C4

= [tex]\frac{10(9)(8)(7)}{1(2)(3)(4)} \\=210[/tex]

Hence answer is option C

210

Answer Link

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