What is the Fundamental Counting Principle?

Nov 6 - Exit (Counting Principle - Graded)

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m x n ways to perform both actions.
2.
FLASHCARD QUESTION
Front
How many outcomes are there when flipping 4 different 2-sided coins?
Back
There are 16 outcomes when flipping 4 different 2-sided coins, calculated as 2^4 = 16.
3.
FLASHCARD QUESTION
Front
How do you calculate the number of different bicycle license plates with 2 letters followed by 1 digit?
Back
The number of different license plates is calculated as 26 (letters) x 26 (letters) x 10 (digits) = 6760.
4.
FLASHCARD QUESTION
Front
What does '4!' represent in mathematics?
Back
'4!' represents the factorial of 4, which is calculated as 4 x 3 x 2 x 1 = 24.
5.
FLASHCARD QUESTION
Front
How many different ways can 8 violinists be seated in a row?
Back
The number of different ways to seat 8 violinists is 8! (8 factorial), which equals 40320.
6.
FLASHCARD QUESTION
Front
What is a factorial?
Back
A factorial, denoted by 'n!', is the product of all positive integers from 1 to n.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating permutations of 'n' items taken 'r' at a time?
Back
The formula for permutations is P(n, r) = n! / (n - r)!.
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