Permutations and Combinations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Wayground Content
Used 1+ times
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a permutation?
Back
A permutation is an arrangement of objects in a specific order. The order matters in permutations.
2.
FLASHCARD QUESTION
Front
What is a combination?
Back
A combination is a selection of objects where the order does not matter.
3.
FLASHCARD QUESTION
Front
How do you calculate permutations of n objects taken r at a time?
Back
The formula is P(n, r) = n! / (n - r)!.
4.
FLASHCARD QUESTION
Front
How do you calculate combinations of n objects taken r at a time?
Back
The formula is C(n, r) = n! / (r! * (n - r)!).
5.
FLASHCARD QUESTION
Front
What is the factorial of a number?
Back
The factorial of a number n (denoted as n!) is the product of all positive integers up to n.
6.
FLASHCARD QUESTION
Front
Calculate 5!
Back
5! = 5 × 4 × 3 × 2 × 1 = 120.
7.
FLASHCARD QUESTION
Front
If a disc jockey has 9 songs and chooses 3 to arrange, how many arrangements are possible?
Back
There are 504 ways to choose and arrange 3 songs from 9.
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