Posted by Debbi on Friday, April 8, 2011 at 5:50am.
I'll get you started.
Draw three intersecting circles. Label one B, one S and one L.
From the data given we can place 31 in the intersection of all three.
We are told 65 knew the ballroom and swing dances, therefore the number that know ballromm and swing only is 65-31=34
Similary the number that know swing and latin only is 56-31=25
And the number that know latin and ballroom only is 93-21=62.
Thus the number that know ballroom only is 172-(34+31+62)=54
Thus the number that know swing only is 102-(34+31+25)=12
Thus the number that know swing only is 145-(25+31+62)=27
The number that knew two of the three dances is
How many knew the Latin and swing dances, but not the ballroom dances is
Total number that knew all three is
so the how many knew none of these dances is 260-236=24
I hope this makes sense without a diagram. Please check the maths!
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