Download presentation

Presentation is loading. Please wait.

Published byLuciano Fetherston Modified over 2 years ago

1
Chapter 5 Section 4 The Multiplication Principle

2
Generalized Multiplication Principle If a task consists of t operations performed consecutively, then the task can be performed in m 1 m 2 m 3 m 4 … m t ways. Trick is to identify the task and the operations.

3
Exercise 3 (page 228) How many two-letter words (including non- sense words) can be formed? Note: 1.Task: Form two-letter word 2.Two operations 1.Write the first letter 2.Write the second letter 3.Restriction(s): None Solution:26 26 = 676

4
Exercise 7 (page 228) Have 5 different pairs of gloves How many ways can you select a right-handed glove and a left-handed glove such that they don’t match? Note: 1.Task: Select two gloves 2.Two operations 1.Pick the right-handed glove 2.Pick the left-handed glove 3.The authors assume that you pick the right- handed glove first. 4.Restriction(s): The two gloves can not match

5
Exercise 7 Solution __ __ = # of ways For selecting the right-handed glove: 5 _ For selecting the left-handed glove: 5 4 Answer: 5 4 = 20

6
Exercise 11 (page 228) Toss a coin 6 times and observe the sequence of heads and tails. How many different sequences? Note: 1.Task: Observe the sequence of heads and tails 2.Six operations 1.First coin toss 2.Second coin toss (etc.) 6.Sixth coin toss 3.Restriction(s): None

7
Exercise 11 Solution Task: __ __ __ __ __ __ Answer: 2 2 2 2 2 2 = 2 6 = 64

8
Exercise 23 Part (b) (page 229) Set: { h, o, t, s, m, x, e } How many four letter words (including nonsense words) can be formed with the restriction: Letters cannot repeat. Solution: 7 6 5 4 = 840

9
Exercise 23 Part (c) (page 229) Set: { h, o, t, s, m, x, e } How many four letter words (including nonsense words) can be formed with the restriction: Begins with ‘h’ and repetitions are allowed. Solution: 1 7 7 7 = 343

10
Exercise 23 Part (d) (page 229) Set: { h, o, t, s, m, x, e } How many four letter words (including nonsense words) can be formed with the restrictions: Word must end in vowel and repetitions are not allowed. Solution: 6 5 4 2 = 240

Similar presentations

OK

Sullivan Algebra and Trigonometry: Section 14.2 Objectives of this Section Solve Counting Problems Using the Multiplication Principle Solve Counting Problems.

Sullivan Algebra and Trigonometry: Section 14.2 Objectives of this Section Solve Counting Problems Using the Multiplication Principle Solve Counting Problems.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on radio station Sense organs anatomy and physiology ppt on cells Ppt on different web browsers Ppt on mathematics for class 7 Ppt on rational numbers for class 9 Ppt on beer lambert law equation Perfect competition short run and long run ppt on tv Ppt on viruses and bacteria ppt Ppt on index of industrial production us Ppt on save mother earth in french