Question
Determine the coefficient of the x5y7 term in the polynomial expansion of (m + n)12.
- 792
- 439
- 382
- 630
The correct answer is: 792
STEP BY STEP SOLUTION
Note that the “x” in the binomial has to be chosen 5 times out of 12.
Thus, the coefficient of the term x5y7 must be equal to the number of
combinations of 5 objects out of 12: 12C5 = 792.
combinations of 5 objects out of 12: 12C5 = 792.
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