A __________ is an ordered arrangement of r objects chosen from n objects

# A __________ is an ordered arrangement of r objects chosen from n objects

Asked by 2 years ago
215 points

A __________ is an ordered arrangement of r objects chosen from n objects

A __________ is an arrangement of r objects chosen from n distinct objects, without repitition and without regard to order

probability
permutations
combinations

S
Answered by 2 years ago
9.9k points

A permutation is an ordered arrangement of r objects chosen from n objects

A combination is an arrangement of r objects chosen from n distinct objects, without repetition and without regard to order

$_{n}P_{r} = P(n,r) = \frac{n!}{(n-r)!}$

$_{n}C_{r} = C(n,r) = \frac{n!}{(n-r)!r!}$

To summarize, in a permutation the order matters, in a combination the order doesn't matter.

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