Answered: How many people were invited by both…

Math

Probability

How many people were invited by both Sara and Irvane?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Due to a miscommunication, Ananya’s, Sara’s, and Irvane’s post-recitation parties all fall on the same day. Unfortunately, many of their friends are very popular and may have received several invites. Fortunately, Ananya, Sara, and Irvane are also quite popular, so in total, there are 5217 people invited to the three parties! Out of these people, 3152 were invited by Ananya, 1989 were invited by Sara, and 1622 were invited by Irvane. Additionally, 818 people were invited by both Ananya and Sara, 589 people were invited by both Ananya and Irvane, and 110 people were invited to all three events. How many people were invited by both Sara and Irvane?

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