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Magic trick (Posted on 2007-05-11) Difficulty: 3 of 5
Two magicians A and B perform the following trick:

A leaves the room and B chooses 4 members from the audience at random. Each member chooses a card numbered from 1 to 100 (each chooses a different card) and after B has seen their cards he chooses a card from the remaining deck of cards. The 5 chosen cards are shuffled by an audience member and handed to A who just returned to the room. Prove that A is able to figure out which cards each member picked. Consider that the chosen members form a row and e.g. the leftmost member picks the first card and the rightmost member (B) picks the last card.

No Solution Yet Submitted by atheron    
Rating: 4.1667 (6 votes)

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Some Thoughts Please wait | Comment 33 of 51 |

Hi,everybody 
                                                                       
My hectic schedule precludes posting a long explanation now, however I promise  to deliver such within 72 hours.  It will cover these points:
<o:p></o:p>

 

a. Charlie is totally right, both in his theoretical expose and the simulator he designed. If. he provides his mailing address , I will send him a nice gift as a token of my appreciation.

 <o:p></o:p>

b. I  can  still can perform the trick with any reasonable amount of numbered cards. My  new method has zero failure rate ( MTBF=infinity) and requires no special background .

c. There is no contradiction between statements a. and b. due to the fact that some non-mathematical gimmicks are implemented.

 <o:p></o:p>

d. Using a 250-card deck is especially easy- while for 100 decks B (the accomplice) must have a very good memory ( or consult a look-up table)- for 250 cards anyone can be a B (nice pun, Ady! ).

5. Not being bound by any non-disclosere rules of  magician societies I intend to share my secrets  with           you flooblers .

6. Someone might even try to exhibit his "ESP" by calling
me (or his buddy) at predefined time , providng 5 names (4 innocent victims + 1 B) and 5 numbers (both in any order) and getting on-line (preferrably on a  loudspeaker) the right assignment.

7.There is more than one way to skin a cat. 

Stay tuned.
                                                  


  Posted by Ady TZIDON on 2007-05-14 02:15:00
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