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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: please read MY PREVIOUS POST | Comment 16 of 51 |
(In reply to please read by Charlie)

Charlie

You have ignored the fact that one of the five numbers

is a function of 4 others such that

a)it is uniquely identified as B's  number (calculated by B by a

formula known to A)

b) It provides exact information as to which one of 24 combination occured .

 I hope my post (PLEASE READ IT)  makes it clear.

In any case I hope you will write a simple program and actually perform this trick albeit computer assisted.


  Posted by Ady TZIDON on 2007-05-12 13:47:21
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