1. Permutation or Combination? Directions: Recall that a permutation is an arrangement with a specific order, while a combination is a group with no specific order. Determine whether the example represents a permutation or combination, then solve. Problem P or C ANSWER How many ways can 4 candy bars be chosen from a store that sells 30 candy bars? How many ways can 13 students line up for lunch? How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

1. Permutation or Combination? Directions: Recall that a permutation is an arrangement with a specific order, while a combination is a group with no specific order. Determine whether the example represents a permutation or combination, then solve. Problem P or C ANSWER How many ways can 4 candy bars be chosen from a store that sells 30 candy bars? How many ways can 13 students line up for lunch? How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.1: Counting

Problem 4E: True or False? In counting combinations, order matters. In counting permutations, order matters. For...

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Answer the following questions. 4. Describe how the permutation of ii objects differs from the permutation of choosing r objects from a set of n objects. Include how each is calculated.
(a) What is a combination of r elements of a set? How many combinations are there of n elements taken r at a time? (b) How many subsets does a set with n elements have? (c) A pizza parlor offers ten different toppings. How many three-topping pizzas are possible? How many pizzas are possible?
How many distinct ways can the word DEADWOOD be arranged?
a What does the Fundamental Counting Principle say? b Suppose that there are three roads from town A to town B and five roads from town B to town C. How many routes are there from A to C via B?
True or False? In counting combinations, order matters. In counting permutations, order matters. For a set of n distinct object, the number of different combinations of these object is more than the number of different permutations. If we have a set with five distinct objects, then the number of different ways of choosing two members of this set is the same as the number of ways of choosing three members.