Permutation

Ordered arrangements of $k$ objects chosen without replacement from $n$ possible objects. Used when counting, when order matters. Box Occupant Based Thinking helps to visualize permutations

Notation

${}_n{P}_R$ or $P(n,r)$:

• n = # of occupants
• r = # of boxes

Permutation formula

${}_n{P}_r=\frac{n!}{(n-r)!}$

Concepts

• Permutations with Repetition
• Multinomial Coefficient
• Pascal Routes