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What is the coefficient of the term x7y in the expansion of (x + y)^8? a1 b8 c28 d56,

What is the coefficient of the term x7y in the expansion of (x + y)^8? a1 b8 c28 d56,
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4 votes
What is the coefficient of the term x7y in the expansion of (x + y)^8?

a1
b8
c28
d56,

asked
User Rene Xu
by
6.9k points

1 Answer

7 votes
The coefficient for x^7*y is equal to 8Choose7 which is 8!/7! which is 8, or answer b. Pascal's triangle may be used to capture this as well, or use the exponent as above.
answered
User Dyllan
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