Permutations (HSC SSCE Mathematics Extension 1): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
ShowHide
Practise the cards
10 cards from this deck
What is a permutation in mathematics?
What is a permutation in mathematics?
An order-specific arrangement of objects.
What is the formula for permutations of n 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?
What is the result of arranging 5 books?
5! = 120 arrangements.
What distinguishes permutations from combinations?
What distinguishes permutations from combinations?
In permutations, order counts; in combinations, it doesn't.
How do you arrange 3 people: A, B, C?
How do you arrange 3 people: A, B, C?
Calculate 3! = 6 arrangements.
What defines a restricted permutation in mathematics?
What defines a restricted permutation in mathematics?
Permutations with specific conditions or limitations.
How do you arrange 'BOOK' with O's together?
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?
What is the formula for circular permutations?
Use (n-1)! for circular arrangements.
How do you permute identical objects?
How do you permute identical objects?
Use n! divided by the factorials of repeats.
How to find arrangements for 3 prizes from 10 participants?
How to find arrangements for 3 prizes from 10 participants?
Calculate using 10P3 = 720 arrangements.
