Respuesta :

ANSWER

C. 210

EXPLANATION

The given binomial expression is

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

Comparing to the general binomial expression,

[tex](a+b)^{n}[/tex]

we have

[tex]n = 10[/tex]

Since we want to find the coefficient of

[tex] {x}^{6} {y}^{4} [/tex]

[tex]r = 4[/tex]

Using the binomial theorem, the coefficient is

[tex]nC_r = 10C_4 = 210[/tex]

The correct choice is C.