Arrangements of a few objects

When order matters, arranging n distinct objects gives n times n minus one times n minus two and so on. Three books on a shelf can be ordered six ways. Contest problems keep n small, so you can also list them - and listing is a good check.

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Work through it

LearnWhat it is, how to spot it, a worked example, and where it goes wrong.
Practice — 3-point ladderNo problems written at this tier yet.Nothing written at this tier yet
Practice — 4-point ladder2 problems. Three in a row finishes it.0/3 in a row · 0/2 solved
Practice — 5-point ladder4 problems. Three in a row finishes it.0/3 in a row · 0/4 solved
Skill quizFinish every ladder that has problems first.Finish the ladders above first

Before and after

Needs first

CNT-03The multiplication principle

Opens up

CNT-06Selections of a few objects CNT-11Counting with restrictions CNT-15Counting up to symmetry

In official papers

No indexed official paper question has been tagged with CNT-05 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.

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