In these worksheets, students will use the counting principle to solve problems.

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The counting principle is the method by which you determine the number of outcomes in a probability problem. To obtain the number of outcomes, you multiply the events together to get the total number of outcomes. You unitedly multiply the cases for total vale of results. Formula: Event a & b then, Total no of results=(a x b) Example#1: Special deal of a fast-food Center: Drink, sandwich, side item, dessert = $5. Options: Sandwich: Chicken/ Beef Patty Side: Regular fries/Cheese Fries Dessert: Chocolate/Apple Pie. Drink: Fanta/Coke/Diet Coke Find possible no of deals? Here, you have 4 options same as above, after selecting, the answers will be: All options will have varieties like: Sandwiches = 4, Side items = 3, Deserts = 3, Drinks = 5 No of possible deals = 4 * 3 * 2 * 5 = 120 Example#2: You have a research report of Write or Wrong answers. Calculate multiple way to complete the survey. You have five phases like this: Ques = 1, Ques = 2, Ques = 3, Ques = 4, Ques = 5. As per the question demand, you have only 2 options (Write or Wrong). Total no of possible means = 2 * 2 * 2 * 2 * 2 and the final answer is 32.

In these worksheets, students will we presented with word problems and will use the counting principle to determine the number of outcomes for each situation. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. Worksheets are also provided that students can use for independent practice. Additional paper may be required for students to do their work. When finished with this set of worksheets, students will be able to use the counting principle to determine the number of outcomes for a scenario. These worksheets explain how to use the counting principle to solve problems. Sample problems are solved and practice problems are provided.



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Counting Principle Worksheets

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Lesson

This worksheet explains how to breakdown the problem: If a shop has 7 flavors of ice-cream in 3 different sizes, how many different ice-creams can one buy? There are 7 kinds of flavors and 3 different sizes to choose from.

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Introduction to Counting Principle Worksheet

Students will use the counting principle to determine the number of outcomes for a scenario. Example: A student is selecting 5 different Geography books, 4 different Chemistry books, and one of 7 different Science books. In how many different ways can a student select them?

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Practice

Example: A lunch special consists of a sandwich, soup, desert, and a drink. There are 10 choices for sandwich, 4 for soup, 7 for desert, 6 for drink. How many lunch specials are there? Ten problems are provided.

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Review and Practice

Examples: A movie theater sells 10 sizes of chocolates (small, large and family size) with 12 choices of flavors. How many possible ways can chocolate be purchased? A sample problem is solved. Six practice problems are provided.

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Quiz

Students will demonstrate their proficiency in using these concepts and skills. Ten problems are provided.

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Check

You will solve problems that follow along this line of thought. Example: Five nurses have 20 patients to visit. How many different ways can they make the rounds if they check each patient once? Three problems are provided, and space is included for students to copy the correct answer when given.

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Lesson

This sample problem is solved : If a shop has 7 flavors of ice cream in 3 different sizes, how many different ice creams can one buy? Also two practice problems are provided.

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Counting Principle Worksheet

Example problem: Jeff has to select one of 5 different Geography books, one of 4 different Chemistry books, and one of 7 different Science books. In how many different ways can a student select?

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Practice

You will solve problems like: 10 students in a speech class all have to give a speech. One of the students insists on being first. If this student’s request is granted, How many different ways are there to schedule the speeches?

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Review and Practice

Example: Ice cream comes in a cup, a cone, or a stick and the flavors available are butterscotch, strawberry, chocolate and vanilla. How many possible ways can ice cream be purchased? Six practice problems are provided.

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Quiz

Students will demonstrate their proficiency with the skills and concepts that we have explored here. Ten problems are provided.

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Check

Students will use the counting principle to solve problems that can be easily presented as a class. Three problems are provided, and space is included for students to copy the correct answer when given.

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