Permutations (HSC SSCE Mathematics Extension 1): Flashcards

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Permutations
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What is a permutation in mathematics?

An order-specific arrangement of objects.

What is the formula for permutations of n objects?

The formula is n! / (n - r)! for r selections.

What is the result of arranging 5 books?

5! = 120 arrangements.

What distinguishes permutations from combinations?

In permutations, order counts; in combinations, it doesn't.

How do you arrange 3 people: A, B, C?

Calculate 3! = 6 arrangements.

What defines a restricted permutation in mathematics?

Permutations with specific conditions or limitations.

How do you arrange 'BOOK' with O's together?

Treat OO as one unit: 3! = 6, then 6 x 2! = 12.

What is the formula for circular permutations?

Use (n-1)! for circular arrangements.

How do you permute identical objects?

Use n! divided by the factorials of repeats.

How to find arrangements for 3 prizes from 10 participants?

Calculate using 10P3 = 720 arrangements.

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