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11 Feb 2004, 17:21
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stolyar, paul, stoolfi, praetorian and akamaibrah are friends and hosting individual newyear parties. Folks from GMAT club are invited to join.
Stolyar can accomodate 25
Paul can accomodate 30
Stoolfi can acomodate 40
Praetorian can accomodate 15
Akamaibrah can accomodate 10
They are yet to send out personal invitations. Every person who receives invitation will attend 100%.
They together (5 of them ) consider it as successfull year only if atleast 3 of them can attract as many members as they can accomodate. What is the minimum number of invitations that should be sent out.
Show your work fellas.
Stolyar can accomodate 25
Paul can accomodate 30
Stoolfi can acomodate 40
Praetorian can accomodate 15
Akamaibrah can accomodate 10
They are yet to send out personal invitations. Every person who receives invitation will attend 100%.
They together (5 of them ) consider it as successfull year only if atleast 3 of them can attract as many members as they can accomodate. What is the minimum number of invitations that should be sent out.
Show your work fellas.
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11 Feb 2004, 18:16
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Hmmm, I wonder if this question has some kind of trap. I also got 50 but is it really that simple? If yes then the explanation is that, provided that every card sent has 100% positive response, we only need to satisfy Akamaibrah, Praetorian and Stolyar's accomodation capacity. Therefore, 10+15+25=50. I would be very surprised if it were this simple though...
I think I didnt state the problem properly.
A collective invitation is sent out. People start filling the houses randomly.
I am loving it!
A collective invitation is sent out. People start filling the houses randomly.
I am loving it!
