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Maths — Permutations vs Combinations

Whether order matters in counting.

Venn / EulerMathematicsVenn / Euler syntax docs
Template previewVenn / Euler
Permutations vs combinationsPermutations (P)Combinations (C)Order matters; nPr = n! / (n-r)!; e.g. arranging, ranking, PIN codesOrder does not matter; nCr = n! / (r!(n-r)!); e.g. choosing a committeeCounting selections from n items; use factorials; choose r from n

Make it your own.

title "Permutations vs combinations"
set P "Permutations"
set C "Combinations"
only "P" "Order matters; nPr = n! / (n-r)!; e.g. arranging, ranking, PIN codes"
only "C" "Order does not matter; nCr = n! / (r!(n-r)!); e.g. choosing a committee"
intersect "P,C" "Counting selections from n items; use factorials; choose r from n"