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