Difference between revisions of "2022 AMC 8 Problems/Problem 17"
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==See Also== | ==See Also== | ||
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Revision as of 23:32, 21 December 2024
Contents
[hide]Problem
If is an even positive integer, the
notation
represents the product of all the even integers from
to
. For example,
. What is the units digit of the following sum?
Solution
Notice that once the units digit of
will be
because there will be a factor of
Thus, we only need to calculate the units digit of
We only care about units digits, so we have
which has the same units digit as
The answer is
~wamofan
Video Solution by Math-X (First understand the problem!!!)
https://youtu.be/oUEa7AjMF2A?si=f4lLO32DQ4Yxdpkv&t=2925
~Math-X
Video Solution (🚀Under 2 min🚀)
~Education, the Study of Everything
Video Solution
https://youtu.be/wp9tOyJ3YQY?t=146
Video Solution
https://youtu.be/Ij9pAy6tQSg?t=1461
~Interstigation
https://www.youtube.com/watch?v=FTVLuv_n9bY
~Ismail.Maths
Video Solution
https://youtu.be/hs6y4PWnoWg?t=80
~STEMbreezy
Video Solution
~savannahsolver
Video Solution 8
https://www.youtube.com/watch?v=EVYrVkkpCo8
~Jamesmath
Video Solution by Dr. David
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.