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Intersection

 
 
Reply Thu 21 Feb, 2008 12:53 pm
During the construction of the Great Pyramid of Giza, the labourers worked at the King's Chamber, the Queen's Chamber or the Grand Gallery. Each labourer had worked on at least one of the three sites.
Of the 15826 who had worked for a period of five years or more, 7858 had worked on the King's Chamber, 8864 on the Queen's Chamber and 7844 on the Grand Gallery; 3833 had worked on the King's Chamber and the Queen's Chamber, 3355 on the Queen's Chamber and the Grand Gallery and 3904 on the King's Chamber and the Grand Gallery.

How many had worked on all the three sites?
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raprap
 
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Reply Thu 21 Feb, 2008 02:20 pm
[size=7]number who worked on all three sites

15826(King &/or Queen &/or Grand)-7858(king)-8864(queen)-7844(grand)+3833(king & queen)+3355(queen & grand) +3904(king & grand)=2352(king & queen & grand)

so 2352 worked on all three sites.

Use set theory the intersection of three venn diagrams (king, queen, and grand) count the set elements to figgure the union.
[/size]

Rap
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BlackB0Ns
 
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Reply Fri 22 Feb, 2008 12:02 am
Thanks!
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