NGPF 10.1 Counting Principles

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does 8! (8 factorial) represent?
Back
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
2.
FLASHCARD QUESTION
Front
How do you calculate the number of arrangements of n objects?
Back
The number of arrangements of n objects is given by n! (n factorial).
3.
FLASHCARD QUESTION
Front
If Laila can choose from 5 banks and 3 types of accounts, how do you find the total number of choices?
Back
Total choices = Number of banks × Number of account types = 5 × 3 = 15.
4.
FLASHCARD QUESTION
Front
How many different 5-digit zip codes can be formed if digits can be repeated?
Back
Each digit has 10 options (0-9), so total zip codes = 10^5 = 100,000.
5.
FLASHCARD QUESTION
Front
How many 6-character license plates can be created using 26 letters and 10 digits?
Back
Total characters = 26 letters + 10 digits = 36. Total plates = 36^6 = 2,176,782,336.
6.
FLASHCARD QUESTION
Front
What is the formula for permutations of n objects taken r at a time?
Back
P(n, r) = n! / (n - r)!.
7.
FLASHCARD QUESTION
Front
What is the difference between permutations and combinations?
Back
Permutations consider order; combinations do not.
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