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

User HUA Di
by
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2 Answers

3 votes

Answer:

210

Explanation:

I answered the question correctly

User Visch
by
8.3k points
4 votes

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

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\\\\=(10!)/(6!* 4!)\\\\=(10* 9* 8* 7)/(4* 3* 3* 2* 1)\\\\=210

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

User Habitats
by
8.2k points

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