Problem:
What is the value of the expression 1+2+3+4+5+6+7+81⋅2⋅3⋅4⋅5⋅6⋅7⋅8?
Answer Choices:
A. 1020
B. 1120
C. 1220
D. 2240
E. 3360
Solution:
The sum 1+2+3+⋯+8=36, so the desired quotient is
361⋅2⋅3⋅4⋅5⋅6⋅7⋅8=4⋅5⋅7⋅8=1120.
Answer: B.
The problems on this page are the property of the MAA's American Mathematics Competitions