Arrangements — systematic listing
Arrangements — systematic listing
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Look at the set and choose how many different arrangements (triples) you can make.
Set: {1, 2, 3}
How many different arrangements of three elements can you make without repeating any element?
What does the generator do?
The generator switches between sets of size 3 and 4, sometimes written with digits (1, 2, 3, 4) and sometimes with letters (a, b, c, d). It always asks for the number of 3-element arrangements without repetition.
How to solve
List the triples one by one — all triples starting with the first element, then with the second, and so on. Count them. The multiplication rule confirms it: number of choices for the first position times choices for the second times choices for the third.
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