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November 24, 2014

November 24, 2014

Posted by **steveo** on Saturday, August 30, 2008 at 4:14pm.

- 12 math -
**David Q**, Saturday, August 30, 2008 at 6:53pmYou'll need to fill in the following table with numbers that add up to 900, because your Venn diagram is going to be composed of these seven mutually exclusive segments:

Female / Non-Union / Non-Single

Union / Non-Female / Non-Single

Single / Non-Union / Non-Female

Female / Union / Non-Single

Female / Single / Non-Union

Union / Single / Non-Female

Female / Union / Single (120)

Your Venn diagram is composed of three mutually overlapping circles, of which the only segment for which you know the number of employees is the middle one: all the other information you have so far relates to two or more adjacent segments - so you've got to break them up into their individual components.

Start in the middle of the diagram with the 120 Female/Union/Single employees, and work outwards. For example, the 190 Female/Union members include 120 who are Female/Union/Single, so the number of Female/Union/Non-Single employees is 190 - 120 = 70. The number of Single/Union employees is 187, so the number of Single/Union/Non-Female employees is 187 - 120 = 67. Carry on like this, filling in both the table above and the relevant segments of the diagram as you go, until you've completed the whole diagram.

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