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very intersting MGMAT set thery question

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by Stuart@KaplanGMAT » Fri Jul 04, 2008 10:20 am
jsl wrote:
xilef wrote:3 students take 3 classes that means you have 6 duplicate entries
Great solution... however, the above has been driving me crazy for ages... How did you calculate 6? I understand that there were 3 students so in my venn diagram, I have 3 in the centre. However, where does the other 3 come from? I noticed this was one of the trap answers too!

If someone could explain, I'd be really thankful.
Jon
The entities in the centre of your Venn diagram are in all 3 groups - so each one has been counted 3 times.

Since we only want to count each one once, we need to subtract 2 of the 3 times that we've counted them so far. Therefore, we subtract double the number of entities in the centre.
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Re: very intersting MGMAT set thery question

by canuckclint » Sun Nov 30, 2008 8:53 pm
ritz wrote:I came across this question..
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
19
13
10
8
7

Let me know how do you solve it.

Regards
Ritz
Weird when I searched for "68" nothing. Guess "68 students" works!!
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