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The Fundamental Counting Principle (FCP) To determine the number of different outcomes possible in some complex process: 1. Analytically break down the process into separate stages or decisions. 2. Count the number of options that are available at each stage or decision. 3. Multiply together all of the numbers from Step 2 above. EXAMPLE 1.4.2
Principles of Counting. Objective: To find the total possible number of arrangements (ways) an event may occur. a) Identify the number of parts (Area Codes, Zip Codes, License Plates, Password, Short Melodies) b) Start with the most restricted part and write the number of possible choices. c) Write the number of choices for other parts.
Sample Spaces and the Counting Principle. Represent the sample space using set notation. 1) An ice cream stand offers four flavors: strawberry, chocolate, vanilla, and mint chocolate chip. {strawberry, chocolate, vanilla, mint cc} 3) A jewelry store sells rings with either a ruby, sapphire, or emerald gemstone. {ruby, sapphire, emerald}
Worksheet A2 : Fundamental Counting Principle, Factorials, Permutations Intro . 1. A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 2. How many ways can 5 paintings be line up on a wall? 3.
Worksheet 10: The Fundamental Counting Principle Grade 12 Mathematics 1. For each of the stories below, say whether it is a permutation or combination: a) 200 students who enter a competition to win a prize. b) 200 students, 10 of whom are chosen as volunteers c) 7 children run a race. d) 10 cars entered for Car of the Year.
Sample Spaces and The Counting Principle. Represent the sample space using set notation. 1) A sandwich shop has three types of sandwiches: ham, turkey, and chicken. 3) The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5 p.m.
FUNDAMENTAL COUNTING PRINCIPLE WORKSHEET WITH ANSWERS. Question 1 : In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent a competition. In how many ways can the teacher make this selection ? Answer : Number of ways of selecting a boy = 27. Number of ways of selecting a girl = 14.
