
Permutation and Combination Flashcard

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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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. It focuses on the group rather than the arrangement.
3.
FLASHCARD QUESTION
Front
How do you calculate permutations of n objects taken r at a time?
Back
The formula is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects to arrange.
4.
FLASHCARD QUESTION
Front
How do you calculate combinations of n objects taken r at a time?
Back
The formula is nCr = n! / [r!(n - r)!], where n is the total number of objects and r is the number of objects to choose.
5.
FLASHCARD QUESTION
Front
If you have 5 books and want to arrange 3 of them, how many arrangements can you make?
Back
60 arrangements (5P3 = 5! / (5-3)! = 60).
6.
FLASHCARD QUESTION
Front
In how many ways can you choose 2 fruits from a selection of 5?
Back
10 ways (5C2 = 5! / [2!(5-2)!] = 10).
7.
FLASHCARD QUESTION
Front
What does the term 'n!' represent?
Back
The term 'n!' (n factorial) represents the product of all positive integers up to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.
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