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Determine the 7th term in the expansion of (x-2y)^12.(a) 6128y^7(b) 59136y^6(c) 52632x^6(d) 39861y^5The question was asked in quiz.The origin of the question is Counting in section Counting of Discrete Mathematics

Answer»

The correct answer is (B) 59136y^6

To explain: By assuming that x^7 occurs in the (r+1)^TH TERM of the expansion (x-2Y)^12, we obtain Tr+1 = ^nCra^n-rb^r = ^12C6 x^6 (2y)^6 = 59136y^6.



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