9.6 Permutations
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
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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 of arrangement is important.
2.
FLASHCARD QUESTION
Front
How do you calculate the number of permutations of n objects taken r at a time?
Back
The formula is P(n, r) = n! / (n - r)!, where n is the total number of objects and r is the number of objects to arrange.
3.
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 from 1 to n.
4.
FLASHCARD QUESTION
Front
Calculate 5! (5 factorial).
Back
5! = 5 × 4 × 3 × 2 × 1 = 120.
5.
FLASHCARD QUESTION
Front
If there are 6 different organizations, how many ways can you award 1st, 2nd, and 3rd prizes?
Back
Using permutations, P(6, 3) = 6! / (6 - 3)! = 6 × 5 × 4 = 120.
6.
FLASHCARD QUESTION
Front
How many ways can you choose a president and vice-president from 24 members?
Back
Using permutations, P(24, 2) = 24! / (24 - 2)! = 24 × 23 = 552.
7.
FLASHCARD QUESTION
Front
What is the difference between permutations and combinations?
Back
Permutations consider the order of arrangement, while combinations do not.
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