Counting Methods (VCE SSCE Mathematical Methods): Flashcards

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Counting methods
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Addition rule: when to use

Choosing between alternatives (or)

Multiplication rule: when to use

Sequential choices (and)

Permutations: definition

Arrangements where order matters

Combinations: definition

Selections where order doesn't matter

Formula for nPr^nP_r

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

Formula for nCr^nC_r

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

Factorial symbol !!: meaning

Multiply all whole numbers from that number down to 1

Value of 5!5!

120120

Order matters vs doesn't: which method?

Order matters = permutations; order doesn't = combinations

Alternative notation for nCr^nC_r

(nr)\binom{n}{r}

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