1313_section6o3 - Section 6.3 The Multiplication Principle Generalized Multiplication Principle Suppose a task T 1 can be performed in N 1 ways a task T

Section 6.3 – The Multiplication Principle 1 Section 6.3 The Multiplication Principle Generalized Multiplication Principle Suppose a task T 1 can be performed in N 1 ways, a task T 2 can be performed in N 2 ways,…, and , finally a task T n can be performed in N n ways. Then the number of ways of performing the tasks T 1 , T 2 , …, T n in succession is given by the product N 1 • N 2 • … • N n . Example 1: You need to create a 4 digit password using only the digits 1 and 2. In how many different can you select a password? Example 2: How many 4-letter words can be written by using the first 10 letters of the alphabet if a) repetition is allowed? b) repetition is not allowed? Example 3: A coin is tossed 3 times, and the sequence of heads and tails is recorded. a. Determine the number of outcomes of this activity. b. List the outcomes of this experiment by first drawing a tree diagram.