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At a certain arena, with five levels, level I has 30 vacant [#permalink]
08 Jan 2007, 23:20

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At a certain arena, with five levels, level I has 30 vacant seats, level II has 45 vacant seats, level III has 40 vacant seats, level IV has 25 vacant seats and level V has 10 vacant seats. If vacant seats are filled randomly, what is the minimum number of seats that must be filled to ensure that 3 levels are completely filled?

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.

Now, when you put it like that...you are obviously right...

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.

I too get 148.

lol, SC! First I got 115, then I thought a bit and corrected to 148. Silly justification.
Well, I too got 148! Thanks!

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...