SOLUTION: Please help me solve this problem: Find the eight term in the expansion of (a + b)10 thank you!

SOLUTION: Please help me solve this problem: Find the eight term in the expansion of (a + b)10 thank you!

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Question 632016: Please help me solve this problem:
Find the eight term in the expansion of (a + b)10
thank you!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
(a + b)^10
eighth term:
10C7 a^(10-7)b^7
10C7 a^3b^7
10!/7!(10-7)! a^3b^7
(8*9*10)/3! a^3b^7
(8*9*10)/(3*2*1) a^3b^7
(8*9*10)/(1*2*3) a^3b^7
(4*9*10)/(1*3) a^3b^7
(4*3*10) a^3b^7
120a^3b^7

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