Combinatorics Concepts

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combination

a collection of distinct objects

permutation

an arrangement of distinct objects in order

nCr

the number of combinations of r objects chosen from a set of n objects

nPr

the number of permutations of r objects chosen from a set of n objects

factorial

the product of the natural numbers less than or equal to the given number

special permutation rule

the rule that states that the number of permutation of n objects is n!

basic counting principle

the rule that states that when there are m ways to do one thing, and n ways to do another, then altogether there are m×n ways of doing both


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