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1. You are ordering 15 sandwiches for delivery from a deli that sells Chicken salad, Turkey, Peanut butter, Roast beef, and Hummus sandwiches. a) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches? b) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches or exactly 4 Peanut butter sandwiches? c) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad or exactly 4 Peanut butter or exactly 4 Hummus sandwiches? d) How does your reasoning and your answers to the previous three questions change if we change every "exactly" to an "at least"?

1. You are ordering 15 sandwiches for delivery from a deli that sells Chicken salad, Turkey, Peanut butter, Roast beef, and Hummus sandwiches. a) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches? b) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches or exactly 4 Peanut butter sandwiches? c) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad or exactly 4 Peanut butter or exactly 4 Hummus sandwiches? d) How does your reasoning and your answers to the previous three questions change if we change every "exactly" to an "at least"?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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1. You are ordering 15 sandwiches for delivery from a deli that sells Chicken salad, Turkey, Peanut butter, Roast beef, and Hummus sandwiches. a) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches? b) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches or exactly 4 Peanut butter sandwiches? c) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad or exactly 4 Peanut butter or exactly 4 Hummus sandwiches? d) How does your reasoning and your answers to the previous three questions change if we change every "exactly" to an "at least"? 2. Let S = {m, a, t, h, f, u, n}, |S| = 7. a) How many 4-element subsets of S contain m or a? b) How many 4-element subsets of S contain m, a or t? c) How many 4-element subsets of S contain m, a or do not contain t? d) How many subsets of S contain m or a? e) How many subsets of S contain m or a or t? f) How many subsets of S contain m or a or do not contain t? 3. A marble set is a collection of 20 red marbles, 25 blue marbles, 22 green marbles and 28 yellow marbles. a) How many ways can you select a subset of 7 marbles with exactly 2 red or exactly 2 blue marbles? b) How many ways can you select a subset of 7 marbles with exactly 2 red marbles or exactly 2 blue marbles or exactly 2 yellow marbles? c) How many ways can you select a subset of 7 marbles and get at least 6 yellow marbles?
Transcribed Image Text:1. You are ordering 15 sandwiches for delivery from a deli that sells Chicken salad, Turkey, Peanut butter, Roast beef, and Hummus sandwiches. a) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches? b) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad sandwiches or exactly 4 Peanut butter sandwiches? c) How many ways can you order 15 sandwiches and get exactly 4 Chicken salad or exactly 4 Peanut butter or exactly 4 Hummus sandwiches? d) How does your reasoning and your answers to the previous three questions change if we change every "exactly" to an "at least"? 2. Let S = {m, a, t, h, f, u, n}, |S| = 7. a) How many 4-element subsets of S contain m or a? b) How many 4-element subsets of S contain m, a or t? c) How many 4-element subsets of S contain m, a or do not contain t? d) How many subsets of S contain m or a? e) How many subsets of S contain m or a or t? f) How many subsets of S contain m or a or do not contain t? 3. A marble set is a collection of 20 red marbles, 25 blue marbles, 22 green marbles and 28 yellow marbles. a) How many ways can you select a subset of 7 marbles with exactly 2 red or exactly 2 blue marbles? b) How many ways can you select a subset of 7 marbles with exactly 2 red marbles or exactly 2 blue marbles or exactly 2 yellow marbles? c) How many ways can you select a subset of 7 marbles and get at least 6 yellow marbles?
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