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AMC permutations & combinations problems

Arrangements, combinations, factorials, subsets, and stars and bars.

168 problems in the archive use these ideas — 102 from the AMC 10 and 66 from the AMC 12.

Picks a problem you have not seen, at about the difficulty you are handling.

60 most recent problems

Newest contests first. Every problem opens with its answer choices, hints and a worked solution.

Use Start permutations & combinations practice above to keep going through the remaining 108, or browse them by contest in the AMC 12 and AMC 10 archives.

Back to all counting & probability problems.