Which expression is
represented by the diagram?
-6-(-4)
-6-4
-10-4
-10-(-4)

Which expression is represented by the diagram?-6-(-4)-6-4-10-4-10-(-4)

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Ответ:

schoolboyq3017

17.12.2020

Mathematics

I assume you're asking to find the coefficient of the x^5y^8

term in the expansion of $(x+y)^{13}$ .

The binomial theorem says that the expansion itself is

$\displaystyle(x+y)^{13}=\sum_{k=0}^{k=13}\binom{13}kx^{13-k}y^k$

and we obtain the x^5y^8

term when

. So the coefficient of this term would be

$\dbinom{13}8=\dfrac{13!}{8!(13-8)!}=1287$

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