Counting Methods

Counting Methods

Assessment

Flashcard

Mathematics

9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the fundamental principle of counting?

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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