Difference between revisions of "2024 AMC 10A Problems/Problem 6"

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== Problem ==
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What is the minimum number of successive swaps of adjacent letters in the string <math>ABCDEF</math> that are needed to change the string to <math>FEDCBA?</math> (For example, 3 swaps are required to change <math>ABC</math> to <math>CBA;</math> one such sequence of swaps is
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<math>ABC\rightarrow BAC\rightarrow BCA\rightarrow CBA.</math>)
  
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==See also==
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{{AMC10 box|year=2024|ab=A|num-b=5|num-a=7}}
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{{MAA Notice}}

Revision as of 15:45, 8 November 2024

Problem

What is the minimum number of successive swaps of adjacent letters in the string $ABCDEF$ that are needed to change the string to $FEDCBA?$ (For example, 3 swaps are required to change $ABC$ to $CBA;$ one such sequence of swaps is $ABC\rightarrow BAC\rightarrow BCA\rightarrow CBA.$)

See also

2024 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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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