2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of sets has 1000 elements in common, each triple of sets has 100 elements in common, every 4 sets has 10 elements in common, and one element is in all 5 sets?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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2)
How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of
sets has 1000 elements in common, each triple of sets has 100 elements in common, every 4 sets has 10
elements in common, and one element is in all 5 sets?
Transcribed Image Text:2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of sets has 1000 elements in common, each triple of sets has 100 elements in common, every 4 sets has 10 elements in common, and one element is in all 5 sets?
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