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Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have? (Hint: Consider the power set.) (Input this as a single number.) What is the maximum sum of a subset of S? (Input this as a single number.)

Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have? (Hint: Consider the power set.) (Input this as a single number.) What is the maximum sum of a subset of S? (Input this as a single number.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Specified Answer for: S

2,3,5,7,11,13

Specified Answer for: subsets

64

Specified Answer for: MaximumSum

41

Specified Answer for: PigeonholePrinciple

6
 
this is what I got for my original answer can you check which one is wrong 
Consider the set S of primes less than 15. List the set S - (Input this as a list with no spaces, use commas.) How many subsets does the set have? (Hint: Consider the power set.) (Input this as a single number.) What is the maximum sum of a subset of S? (Input this as a single number.) If we sum the numbers in each subset, some of them are the same. Use the Pigeonhole principle (strong form) to find the number of sums that must be equal.
Transcribed Image Text:Consider the set S of primes less than 15. List the set S - (Input this as a list with no spaces, use commas.) How many subsets does the set have? (Hint: Consider the power set.) (Input this as a single number.) What is the maximum sum of a subset of S? (Input this as a single number.) If we sum the numbers in each subset, some of them are the same. Use the Pigeonhole principle (strong form) to find the number of sums that must be equal.
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