Difference between revisions of "Mock AIME 6 2006-2007 Problems/Problem 1"

(Created page with "We note that the required sum is equal to <math>(2^0+2^1+2^2+2^3+2^4)(3^0+3^1+3^2+3^3+3^4)=(31)(121)=3751</math>, which is <math>\framebox{751}</math> mod 1000.")
 
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We note that the required sum is equal to <math>(2^0+2^1+2^2+2^3+2^4)(3^0+3^1+3^2+3^3+3^4)=(31)(121)=3751</math>,
 
We note that the required sum is equal to <math>(2^0+2^1+2^2+2^3+2^4)(3^0+3^1+3^2+3^3+3^4)=(31)(121)=3751</math>,
 
which is <math>\framebox{751}</math> mod 1000.
 
which is <math>\framebox{751}</math> mod 1000.
 +
~AbbyWong

Revision as of 00:32, 6 September 2023

We note that the required sum is equal to $(2^0+2^1+2^2+2^3+2^4)(3^0+3^1+3^2+3^3+3^4)=(31)(121)=3751$, which is $\framebox{751}$ mod 1000. ~AbbyWong