Template:Combinatorics; 5 choose 3

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  without repetition with repetition
Variations Variations without repetition; 5 choose 3.svg

~{5 \choose 3}{\cdot 3!}~=~60~
Variations with repetition; 5 multichoose 3; grouped.svg

~5^3~=~125~



Combinations Combinations without repetition; 5 choose 3.svg

~{5 \choose 3}~=~10~
Combinations with repetition; 5 multichoose 3; grouped.svg

~\left(\!\!{5 \choose 3}\!\!\right)~=~{7 \choose 3}~=~35~