What is the fundamental principle of counting?
Counting Methods

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The fundamental principle of counting 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.
2.
FLASHCARD QUESTION
Front
How many choices do you have for the first digit of a 4-digit number if it cannot be 0?
Back
You have 9 choices (1-9) for the first digit.
3.
FLASHCARD QUESTION
Front
If repetition is allowed, how many 4-digit numbers can be formed?
Back
9,000 (9 choices for the first digit and 10 choices for each of the remaining 3 digits: 9 × 10 × 10 × 10 = 9,000).
4.
FLASHCARD QUESTION
Front
If repetition is not allowed, how many 4-digit numbers can be formed?
Back
4,536 (9 choices for the first digit, 9 for the second, 8 for the third, and 7 for the fourth: 9 × 9 × 8 × 7 = 4,536).
5.
FLASHCARD QUESTION
Front
What is a combination in counting methods?
Back
A combination is a selection of items from a larger set where the order does not matter.
6.
FLASHCARD QUESTION
Front
What is a permutation in counting methods?
Back
A permutation is an arrangement of items where the order does matter.
7.
FLASHCARD QUESTION
Front
How many different pizzas can you make with 3 crust options, 5 sauce options, and 10 topping options?
Back
150 (3 × 5 × 10 = 150).
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