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# Each of 30 students studies at least one of the three

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Current Student
Joined: 11 May 2008
Posts: 551
Each of 30 students studies at least one of the three  [#permalink]

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30 Jul 2008, 19:08
Each of 30 students studies at least one of the three languages, English, French, and Italian. If 17 students study English, 13 students study French, and 20 students study Italian, what is the least possible number of the students who study all three languages?
(A) 0
(B) 4
(C) 6
(D) 7
(E) 10

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Director
Joined: 23 Sep 2007
Posts: 760

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30 Jul 2008, 19:18
A

A possible scenario
10 students only English
7 students English/Italian
13 students French/Italian
Manager
Joined: 27 May 2008
Posts: 135

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30 Jul 2008, 20:35
1

See the file to understand
Attachments

Sets.doc [26.5 KiB]

Intern
Joined: 26 Jul 2008
Posts: 3

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30 Jul 2008, 23:59
Thanks for the figure Rahul

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Re: sets.... &nbs [#permalink] 30 Jul 2008, 23:59
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# Each of 30 students studies at least one of the three

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