Difference between revisions of "2021 AMC 12A Problems/Problem 1"
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| − | + | ==Problem== | |
| + | What is the value of<cmath>2^{1+2+3}-(2^1+2^2+2^3)?</cmath><math>\textbf{(A) }0 \qquad \textbf{(B) }50 \qquad \textbf{(C) }52 \qquad \textbf{(D) }54 \qquad \textbf{(E) }57</math> | ||
| − | + | ==Solution== | |
| − | + | We evaluate the given expression to get that <cmath>2^{1+2+3}-(2^1+2^2+2^3)=2^6-(2^1+2^2+2^3)=64-2-4-8=50 \implies \boxed{\text{(A)}}</cmath> | |
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==See also== | ==See also== | ||
{{AMC12 box|year=2021|ab=A|before=First problem|num-a=2}} | {{AMC12 box|year=2021|ab=A|before=First problem|num-a=2}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 15:24, 11 February 2021
Problem
What is the value of![\[2^{1+2+3}-(2^1+2^2+2^3)?\]](http://latex.artofproblemsolving.com/2/8/a/28aba0a1e7d8bcd9c7a8c9b2aab526c0329165c5.png)
Solution
We evaluate the given expression to get that ![\[2^{1+2+3}-(2^1+2^2+2^3)=2^6-(2^1+2^2+2^3)=64-2-4-8=50 \implies \boxed{\text{(A)}}\]](http://latex.artofproblemsolving.com/0/b/e/0be46246d750d9e9b19d89a192d02fca3fa14a03.png)
See also
| 2021 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by First problem |
Followed by Problem 2 |
| 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 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
