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2 slips drawn

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Manager
Manager
Joined: 04 Dec 2008
Posts: 115
Followers: 1

Kudos [?]: 9 [0], given: 2

2 slips drawn [#permalink] New post 16 Jul 2009, 03:03
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Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven
Senior Manager
Senior Manager
Joined: 23 Jun 2009
Posts: 368
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 4

Kudos [?]: 86 [0], given: 60

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Re: 2 slips drawn [#permalink] New post 16 Jul 2009, 03:11
It is an "at least" question. So it wants us a number that guarantees the solution.
So take the worst case;
First you take 0
Second you take 1
...
...
Sixth you take 5 (This does not gives us the solution)
Seventh you take 6 (this guarantees the solution)
i.e. even in worst case one can find the solution in 7 steps. So 7 steps guarantees.

E
Manager
Manager
Joined: 04 Dec 2008
Posts: 115
Followers: 1

Kudos [?]: 9 [0], given: 2

Re: 2 slips drawn [#permalink] New post 06 Aug 2009, 04:20
maliyeci wrote:
It is an "at least" question. So it wants us a number that guarantees the solution.
So take the worst case;
First you take 0
Second you take 1
...
...
Sixth you take 5 (This does not gives us the solution)
Seventh you take 6 (this guarantees the solution)
i.e. even in worst case one can find the solution in 7 steps. So 7 steps guarantees.

E


Thanks! I understand.
Re: 2 slips drawn   [#permalink] 06 Aug 2009, 04:20
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2 slips drawn

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