
Permutations, Combinations, FCP
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
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.
3.
FLASHCARD QUESTION
Front
What is the Fundamental Counting Principle (FCP)?
Back
The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m × n ways.
4.
FLASHCARD QUESTION
Front
How many ways can 5 dogs (3 black, 2 tan) be arranged in a Black-Tan-Black-Tan-Black pattern?
Back
The arrangement is a permutation problem. The answer is 3! (for black) × 2! (for tan) = 12 ways.
5.
FLASHCARD QUESTION
Front
If a lock has 3 dials with 10 digits each and repetition is allowed, how many possible codes can be formed?
Back
Using FCP, the total number of codes is 10 × 10 × 10 = 1000.
6.
FLASHCARD QUESTION
Front
How many different license plates can be made with 3 letters followed by 4 digits, allowing repetition?
Back
Using FCP, the total is 26^3 (for letters) × 10^4 (for digits) = 17,576,000.
7.
FLASHCARD QUESTION
Front
What is empirical probability?
Back
Empirical probability is the probability based on observed data, representing what actually happens.
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