Mathematics: What is the coefficient of the x6y4 term in the expansion of (x+y)10?

What is the coefficient of the x6y4 term in the - id642939960, franklinkaylieg3873

Ответ:

missheather0309

05.01.2022

Mathematics

The coefficient of $x^6y^4\ term$ is 210.

Step-by-step explanation:

Since we have given that

$(x+y)^{10}$

We need to find the $x^6y^4\ term$

so, we will use "Binomial rule ":

$T_{r+1}=T_6=^{10}C_{6}x^6y^4\\\\\text{So, the coefficient of }x^6y^4\ will\ be\\\\^{10C_6\\\\=\frac{10!}{6!\times 4!}\\\\=\frac{10\times 9\times 8\times 7}{4\times 3\times 3\times 2\times 1}\\\\=210$

Hence, the coefficient of $x^6y^4\ term$ is 210.

0,0(0 оценок)

What is the coefficient of the x6y4 term in the expansion of (x+y)10?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question