Difference between revisions of "2019 AMC 10A Problems/Problem 2"
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==Solution 3== | ==Solution 3== | ||
− | Because we know that <math>5^3</math> is a factor of <math>15!</math> and <math>20!</math>, the last three digits of both numbers is a 0, this means that the difference of the hundreds digits is also <math>\boxed{\ | + | Because we know that <math>5^3</math> is a factor of <math>15!</math> and <math>20!</math>, the last three digits of both numbers is a 0, this means that the difference of the hundreds digits is also <math>\boxed{\textbf{(A) }0}</math>. |
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==Solution 4== | ==Solution 4== |
Revision as of 10:52, 23 October 2022
Contents
[hide]Problem
What is the hundreds digit of
Video Solution 1
Education, The Study of Everything
Video Solution 2
~savannahsolver
== Video Solution == 3 https://youtu.be/zfChnbMGLVQ?t=3899
~ pi_is_3.14
Solution 3
Because we know that is a factor of and , the last three digits of both numbers is a 0, this means that the difference of the hundreds digits is also .
Solution 4
We can clearly see that , so meaning that the last two digits are equal to and the hundreds digit is , or .
--abhinavg0627
Solution 5 (Brute Force)
Then, we see that the hundred digit is
-dragoon
See Also
2019 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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 AMC 10 Problems and Solutions |
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