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Tree Diagrams and Fundamental Counting Principle

Tree Diagrams and Fundamental Counting Principle

Assessment

Flashcard

Mathematics

7th Grade

Practice Problem

Hard

CCSS
7.SP.C.8B

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all the possible outcomes of a sequence of events, branching out from a starting point.

Tags

CCSS.7.SP.C.8B

2.

FLASHCARD QUESTION

Front

What is the Fundamental Counting Principle?

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.

3.

FLASHCARD QUESTION

Front

How do you calculate the total number of outfits from multiple clothing options?

Back

Multiply the number of options for each clothing type. For example, with 5 jeans, 8 t-shirts, and 2 shoes: 5 × 8 × 2 = 80 outfits.

4.

FLASHCARD QUESTION

Front

What is the formula for calculating permutations without repetition?

Back

For 'n' items taken 'r' at a time, the formula is n! / (n - r)!.

5.

FLASHCARD QUESTION

Front

How many different license plates can be formed with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11,232,000.

6.

FLASHCARD QUESTION

Front

How do you find the number of combinations for a menu with multiple choices?

Back

Multiply the number of choices for each category. For example, 6 sandwiches, 3 chips, and 5 beverages: 6 × 3 × 5 = 90 combinations.

7.

FLASHCARD QUESTION

Front

What is the total number of choices when selecting a cone and ice cream flavor?

Back

Multiply the number of cone types by the number of ice cream flavors. For 3 cones and 31 flavors: 3 × 31 = 93 choices.

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