PERMUTATIONS AND COMBINATIONS

Flashcard
•
Mathematics
•
9th - 12th Grade
•
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 number of permutations of n distinct objects is n! (n factorial).
2.
FLASHCARD QUESTION
Front
What is a combination?
Back
A combination is a selection of objects without regard to the order. The number of combinations of n objects taken r at a time is given by the formula C(n, r) = n! / (r!(n-r)!).
3.
FLASHCARD QUESTION
Front
How many different 5-digit numbers can be formed using the digits 1, 2, 3, 5, 7, and 8, if each digit may be used only once?
Back
720 different 5-digit numbers can be formed.
4.
FLASHCARD QUESTION
Front
How many of these 5-digit numbers are even and greater than 30000?
Back
168 5-digit numbers are even and greater than 30000.
5.
FLASHCARD QUESTION
Front
How many ways can two teams of 4 students be selected from a class of 8 boys and 6 girls, with one team containing boys only and the other girls only?
Back
1050 different ways to select the teams.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating permutations of n objects taken r at a time?
Back
The formula is P(n, r) = n! / (n-r)!.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating combinations of n objects taken r at a time?
Back
The formula is C(n, r) = n! / (r!(n-r)!).
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