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Counting Principle - Multiplication

Counting Principle - Multiplication. Counting Principle - Multiplication. When two events are happening that are different, you multiply the event’s outcomes to find the amount. Counting Principle - Multiplication.

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Counting Principle - Multiplication

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  1. Counting Principle - Multiplication

  2. Counting Principle - Multiplication When two events are happening that are different, you multiply the event’s outcomes to find the amount.

  3. Counting Principle - Multiplication When two events are happening that are different, you multiply the event’s outcomes to find the amount. If there “a” ways event 1 can occur and “b” ways event 2 can occur, then there are a x b ways that both events can occur.

  4. Counting Principle - Multiplication When two events are happening that are different, you multiply the event’s outcomes to find the amount. If there “a” ways event 1 can occur and “b” ways event 2 can occur, then there are a x b ways that both events can occur. EXAMPLE : You are ordering dinner at a restaurant. If there are 4 choices of appetizers and 7 choices for main entrees, how many different ways could you order your meal ?

  5. Counting Principle - Multiplication When two events are happening that are different, you multiply the event’s outcomes to find the amount. If there “a” ways event 1 can occur and “b” ways event 2 can occur, then there are a x b ways that both events can occur. EXAMPLE : You are ordering dinner at a restaurant. If there are 4 choices of appetizers and 7 choices for main entrees, how many different ways could you order your meal ? Solution : just multiply the two outcomes 4 x 7 = 28 ways to order dinner

  6. Counting Principle - Addition To find the total number of outcomes from two mutually exclusive events, add the number of possible outcomes from each event. The possible outcomes are generated using the previous “multiplication principle “.

  7. Counting Principle - Addition To find the total number of outcomes from two mutually exclusive events, add the number of possible outcomes from each event. The possible outcomes are generated using the previous “multiplication principle “. EXAMPLE : Joey can eat cereal or eggs for breakfast. He has 4 different kinds of cereal to choose from, and he knows how to make 3 types of eggs. How many breakfast options does Joey have ?

  8. Counting Principle - Addition To find the total number of outcomes from two mutually exclusive events, add the number of possible outcomes from each event. The possible outcomes are generated using the previous “multiplication principle “. EXAMPLE : Joey can eat cereal or eggs for breakfast. He has 4 different kinds of cereal to choose from, and he knows how to make 3 types of eggs. How many breakfast options does Joey have ? SOLUTION : 4 cereal choices + 3 eggs choices = 7 options

  9. Counting Principle – Addition and Multiplication Let’s take a look at an example that employs both principles.

  10. Counting Principle – Addition and Multiplication Let’s take a look at an example that employs both principles. Frank is looking for a new car or truck. The options available for the car are 6 different colors, 3 different interiors and 2 different transmissions. The truck options are 4 different colors, 3 different interiors, and 2 different transmissions. How many Different choices does he have ?

  11. Counting Principle – Addition and Multiplication Let’s take a look at an example that employs both principles. Frank is looking for a new car or truck. The options available for the car are 6 different colors, 3 different interiors, and 2 different transmissions. The truck options are 4 different colors, 3 different interiors, and 2 different transmissions. How many Different choices does he have ? Solution : Car configurations = 6 x 3 x 2 = 36 Truck configurations = 4 x 3 x 2 = 24 36 + 24 = 60 choices of vehicles

  12. Counting Principle – Addition and Multiplication Complex problems : A supervisor has 8 employees and two projects to complete. One project will require 5 people to complete and the other will require 3 people to complete. No one can work on both projects. How many ways can the supervisor make these assignments ?

  13. Counting Principle – Addition and Multiplication Complex problems : A supervisor has 8 employees and two projects to complete. One project will require 5 people to complete and the other will require 3 people to complete. No one can work on both projects. How many ways can the supervisor make these assignments ? Solution : Once you assign one team, the rest of the employees would automatically be assigned the other project. So only one computation is necessary.

  14. Counting Principle – Addition and Multiplication Complex problems : A supervisor has 8 employees and two projects to complete. One project will require 5 people to complete and the other will require 3 people to complete. No one can work on both projects. How many ways can the supervisor make these assignments ? - I used the short cut

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