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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: ( You must be logged in to post comments.)
  Subject Author Date
re(4): Address time here it comes- my waybrianjn2009-05-21 00:34:58
Some Thoughtsre(3): Address time here it comes- my wayAdy TZIDON2009-02-12 12:10:41
re(2): Address time here it comes- my waybrianjn2008-01-26 08:59:34
re: Address time here it comes- my wayAdy TZIDON2008-01-26 07:47:01
Address timebrianjn2008-01-06 09:16:37
Validation?brianjn2007-11-20 07:58:28
re: No SubjectJohn zadeh2007-10-24 15:21:42
re: No Subjecttodd2007-09-18 21:27:00
No Subjecttodd2007-09-18 21:19:19
Second attemptJohn zadeh2007-06-27 01:48:30
Oops...John zadeh2007-06-26 21:00:11
I think I got it...John zadeh2007-06-26 20:52:27
re: Non-math solution (if this was in Tricks)Ady TZIDON2007-05-17 12:44:41
Non-math solution (if this was in Tricks)Guest2007-05-15 19:47:28
re: A new approachCharlie2007-05-14 23:53:55
re: Some statistics -- continuedCharlie2007-05-14 23:44:58
Some ThoughtsSome statisticsCharlie2007-05-14 23:43:25
Some ThoughtsA new approachJer2007-05-14 12:59:05
Some ThoughtsPlease waitAdy TZIDON2007-05-14 02:15:00
re(6): please readAdy TZIDON2007-05-14 01:53:38
re(5): please readKen Haley2007-05-14 00:25:20
re(3): A Little Hocus PocusAdy TZIDON2007-05-13 23:55:12
re(2): A Little Hocus PocusVernon Lewis2007-05-13 18:02:02
Questionre: A Little Hocus PocusCharlie2007-05-13 12:07:23
re(3): please readCharlie2007-05-13 11:40:52
re(2): please readCharlie2007-05-13 11:17:20
re(5): please readCharlie2007-05-13 03:35:22
Some Thoughtsre(4): please readAdy TZIDON2007-05-13 03:20:55
re(3): please readCharlie2007-05-13 03:09:48
re: please readJoel2007-05-12 21:47:05
re(3): please readKen Haley2007-05-12 18:46:37
Some Thoughtsre(2): the magician A coaches partner B-actionAdy TZIDON2007-05-12 18:42:43
re(2): please readKen Haley2007-05-12 18:29:47
re: the magician A coaches partner Batheron2007-05-12 14:38:33
re: please readAdy TZIDON2007-05-12 14:16:37
Hints/Tipsre: please read MY PREVIOUS POSTAdy TZIDON2007-05-12 13:47:21
Solutionthe magician A coaches partner BAdy TZIDON2007-05-12 13:16:50
re: please readatheron2007-05-12 11:47:58
Solutioni can do itAdy TZIDON2007-05-12 11:28:38
A Little Hocus PocusVernon Lewis2007-05-12 10:49:14
please readCharlie2007-05-12 10:20:26
re(2): Stage performancebrianjn2007-05-12 08:57:16
re: Stage performanceatheron2007-05-12 07:20:00
Stage performancebrianjn2007-05-12 05:06:41
re: a good start to go on ( no spoiler!!)Dej Mar2007-05-11 22:43:37
Some Thoughtsa good start to go on ( no spoiler!!)Ady TZIDON2007-05-11 20:21:39
re(2): limitationsCharlie2007-05-11 15:47:14
Some Thoughtsre: limitationsJayDeeKay2007-05-11 14:16:43
re: limitationsCharlie2007-05-11 13:44:50
Some ThoughtslimitationsCharlie2007-05-11 13:39:41
Some ThoughtsA startJer2007-05-11 13:20:12
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