Determine the coefficient of the x^5y^7 term in the polynomial expansion of (m+n)^12.(a) 792(b) 439(c) 382(d) 630This question was posed to me in examination.Question is from Counting topic in chapter Counting of Discrete Mathematics

Determine the coefficient of the x^5y^7 term in the polynomial expansi

1.	Determine the coefficient of the x^5y^7 term in the polynomial expansion of (m+n)^12.(a) 792(b) 439(c) 382(d) 630This question was posed to me in examination.Question is from Counting topic in chapter Counting of Discrete Mathematics
Answer» Right answer is (a) 792 Best explanation: NOTE that, the “x” in the BINOMIAL has to be CHOSEN 5 times out of 12. Thus, the COEFFICIENT of the term x^5y^7 must be equal to the number of combinations of 5 objects out of 12: ^12C5 = 792.

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