Counting Methods, Permutations and Combinations (Edexcel A-Level Further Mathematics): Flashcards

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Counting Methods, Permutations and Combinations
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Value of 5!5!

120120

Handling repeated items in arrangements

Divide out repetitions by their factorials

Add vs multiply rule in counting

Add for different cases, multiply within a case

Permutations definition

Choosing items where order is important

Combinations definition

Choosing items where order does not matter

Formula for nPr^nP_r

n!(n−r)!\frac{n!}{(n-r)!}

Formula for nCr^nC_r

n!r!(n−r)!\frac{n!}{r!(n-r)!}

Use permutations when

Order of choice is important

Use combinations when

Order of choice does not matter

Arrangements of nn distinct items

n!n!

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