Difference between revisions of "2022 AMC 10A Problems/Problem 24"
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<math>\textbf{(A) }500\qquad\textbf{(B) }625\qquad\textbf{(C) }1089\qquad\textbf{(D) }1199\qquad\textbf{(E) }1296</math> | <math>\textbf{(A) }500\qquad\textbf{(B) }625\qquad\textbf{(C) }1089\qquad\textbf{(D) }1199\qquad\textbf{(E) }1296</math> | ||
| − | == | + | == Solution 1 By OmegaLearn using Complementary Counting == |
https://youtu.be/jWoxFT8hRn8 | https://youtu.be/jWoxFT8hRn8 | ||
~ pi_is_3.14 | ~ pi_is_3.14 | ||
| + | |||
| + | == See Also == | ||
| + | |||
| + | {{AMC10 box|year=2022|ab=A|num-b=23|num-a=25}} | ||
| + | {{MAA Notice}} | ||
== See Also == | == See Also == | ||
Revision as of 04:12, 12 November 2022
Problem
How many strings of length 
formed from the digits 
,
,
,
,
are there such that for each 
, at least 
of the digits are less than ? (For example, 
satisfies the condition because it contains at least digit less than , at least digits less than , at least digits less than , and at least digits less than . The string 
does not satisfy the condition because it does not contain at least digits less than .)
Solution 1 By OmegaLearn using Complementary Counting
~ pi_is_3.14
See Also
| 2022 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
See Also
| 2022 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.
