Slips of Paper in the HAT : PS Archive
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# Slips of Paper in the HAT

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Manager
Joined: 07 Jun 2006
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Kudos [?]: 26 [0], given: 0

Slips of Paper in the HAT [#permalink]

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12 Oct 2006, 11:29
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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?
3
4
5
6
7
SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 316 [0], given: 49

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12 Oct 2006, 11:35
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?

3 4 5 6 7

to have a sum of 10 on two papers

1+9 , 2+8 , 3+7 , 4+6 only

7 is my answer worst case the first draws are (0,5,1,2,3,4,)

any additional one will give 10

EDITED BECAUSE OF TWO THINGS 1) NEVER RUSH IF U SEE A QUESTION THAT U THINKS IT IS EASY FOR U TO SOLVE ......... FATAL MISTAKE

2) WE WONT HAVE Ciceron on G day to advice you to concentrate

(though i wish i can )

Last edited by yezz on 12 Oct 2006, 11:47, edited 1 time in total.
Senior Manager
Joined: 28 Aug 2006
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12 Oct 2006, 11:41
Hey Yezz , it must be 7.
Think again...............
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Manager
Joined: 07 Jun 2006
Posts: 111
Followers: 2

Kudos [?]: 26 [0], given: 0

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12 Oct 2006, 11:50
considering the Worst Case Scenario:
1)
0,1,2,3,4,5,6 -

Till you reach 6, you cannot satisfy the condition given in the Question (2 numbers adding upto 10)

2)9,8,7,6,5,0, 4 -

Same till you reach 4.

So the ans is 7 - (E).
12 Oct 2006, 11:50
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