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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_10 / How many ways are there to split the integers 1 through 14 into 7 pairs such that in each pair, the greater number is at least 2 times the lesser number?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many ways are there to split the integers

1

through

14

into

7

pairs such that in each pair, the greater number is at least

2

times the lesser number?

Plain-text mathematical notation (without MathML)

How many ways are there to split the integers 1 through 14 into 7 pairs such that in each pair, the greater number is at least 2 times the lesser number?

Original LaTeX notation

How many ways are there to split the integers $1$ through $14$ into $7$ pairs such that in each pair, the greater number is at least $2$ times the lesser number?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_10
task_id: dfced468-02a9-53cc-8928-6595c9c155c9
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12A~5fProblems~2fProblem~5f10
task_revision_id: 2
config / split: default / train

Official source

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