Tree Diagram and Fundamental Counting Principle

Fundamental Principle of counting

By Eliada Falcon

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Fundamental Counting Principle: Definition & Examples - Video Lesson

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Answer

There are 4 stages:

1. Choose a sandwich.

2. Choose a side.

3. Choose a dessert.

4. Choose a drink.

There are 4 different types of sandwich, 3 different types of side, 2 different types of desserts and five different types of drink.

The number of meal combos possible is 4 x 3 x 2 x 5 = 120.​

Determine the number of arrangements using the principle of counting.

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Answer

There are 5 stages:

Question 1, question 2, question 3, question 4, and question 5.

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There are 2 choices for each question (Yes or No).

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So the total number of possible ways to answer is: 2 x 2 x 2 x 2 x 2 = 32.​

Determine the number of arrangements using the principle of counting.

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Answer

There are 5 stages

(number 1, number 2, number 3, letter 1 and letter 2).

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There are 10 possible numbers: 0 – 9.

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There are 26 possible letters: A – Z.

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So we have: 10 x 10 x 10 x 26 x 26 = 676, 000 possible codes.​

Determine the number of arrangements using the principle of counting.

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Work on Skill Check 3, p. 431.

Solve it in your notebook. ​

You can work in pairs.