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.

(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