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A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists.

A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Survey Analysis of Celebrity Lists** A survey of magazine subscribers categorized 61 celebrities into three distinct lists based on attributes: - **Most Powerful List**: 36 celebrities - **Most Liked List**: 30 celebrities - **Most Intelligent List**: 22 celebrities Additional information from the survey includes: - 5 celebrities appeared on all three lists. - 16 celebrities were featured on both the Most Powerful and Most Liked lists. - 12 celebrities were included in both the Most Powerful and Most Intelligent lists. - 9 celebrities appeared on both the Most Liked and Most Intelligent lists. **Questions:** 1. How many celebrities were only on the Most Intelligent list? 2. How many celebrities were on none of the lists? **Interactive Answer Options:** - [ ] were only on the most intelligent list. - [ ] were on none of the lists. **Explanation:** To solve the questions, we will use the principles of set theory, considering overlaps and individual category inclusions to find the exclusive and excluded numbers from the provided data.
Transcribed Image Text:**Survey Analysis of Celebrity Lists** A survey of magazine subscribers categorized 61 celebrities into three distinct lists based on attributes: - **Most Powerful List**: 36 celebrities - **Most Liked List**: 30 celebrities - **Most Intelligent List**: 22 celebrities Additional information from the survey includes: - 5 celebrities appeared on all three lists. - 16 celebrities were featured on both the Most Powerful and Most Liked lists. - 12 celebrities were included in both the Most Powerful and Most Intelligent lists. - 9 celebrities appeared on both the Most Liked and Most Intelligent lists. **Questions:** 1. How many celebrities were only on the Most Intelligent list? 2. How many celebrities were on none of the lists? **Interactive Answer Options:** - [ ] were only on the most intelligent list. - [ ] were on none of the lists. **Explanation:** To solve the questions, we will use the principles of set theory, considering overlaps and individual category inclusions to find the exclusive and excluded numbers from the provided data.
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