Arrangements (VCE SSCE Mathematical Methods): Flashcards

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Arrangements
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Definition of arrangement

Ordering of objects where sequence matters

Another name for arrangements

Permutations

Key feature of arrangements

Order matters

Formula: arrange nn objects

n!n!

Meaning of n!n!

n×(n1)×(n2)××2×1n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1

Formula: arrange rr from nn objects

n!(nr)!\frac{n!}{(n-r)!}

Notation for n permute r

nPr^nP_r

Value of 0!0!

11

Strategy for arrangement restrictions

Deal with the restriction first

Formula: arrange rr from nn with repetition

nrn^r

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