5.4 The Multiplication Principle Bob is making arrangements to fly home for Thanksgiving. He has to fly to the local airport, then take a taxi to his parent’s.

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Presentation transcript:

5.4 The Multiplication Principle Bob is making arrangements to fly home for Thanksgiving. He has to fly to the local airport, then take a taxi to his parent’s house. He has a choice of five different airlines and three different taxi services. How many different ways can Bob get home? Here we did: Choice 1 ∙ Choice 2 This is a basic version of the Multiplication Principle. Suppose a task is composed of t consecutive choices. Choice 1 can be performed m ways; Choice 2 can be performed n ways, Choice 3 can be performed p ways, etc. Then the task can be performed in: m ∙ n ∙ p…∙… ways

5.4 The Multiplication Principle This class must choose a president, vice president and secretary. In how many ways can this be done? Maryland license plates used to be three letters followed by three numbers. How many such license plates are there?

5.4 The Multiplication Principle Twenty athletes enter an Olympic event. How many different possibilities are there for winning the Gold, Silver and Bronze Medals? A company has 600 employees. Explain why it is possible for everyone to have different initials, using first and last initials.

5.4 The Multiplication Principle An exam has six T/F questions. How many different ways can the exam be answered? How many different ways can the exam be answered if one question is left blank. A group of five boys and three girls is to be photographed. How many ways can they be arranged in one row? How many ways can they be arranged with the girls in the front and the boys in the back?

5.4 The Multiplication Principle Problems to complete from section 5.4 – #1 – 10, 19, 25