2017 AMC 8 Problems/Problem 5
Problem 5
What is the value of the expression ?
Solution 1
We evaluate both the top and bottom: . This simplifies to .
Solution 2
It is well known that . Therefore, the denominator is equal to . Now we can cancel the factors of , , and from both the numerator and denominator, only leaving . This evaluates to .
Solution 3
We have 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = 40320, and 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36/ And 40320/36 = 1120. So the answer is (B)1120
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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