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Uniform distribution (Posted on 2019-01-25) Difficulty: 2 of 5
6 cards, labeled 1,2, ...6, are randomly put in 3 different envelopes, at least one card in each.

Evaluate the probability of 2,2,2 distribution.

No Solution Yet Submitted by Ady TZIDON    
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@ all solvers clarification | Comment 7 of 9 |

It is not easy-peasy. 
Both Steves assumed 3 envelopes, not different , so  (14, 23, 56 );
 ( 23, 56,14 );  + 4 other permutations counted as one  (two, two,two)

Charlie  rightly assumed that there are 3 distinct envelopes (say-  yellow, green and red) - I do not want to comment now about the 
final answer - especially re defining "randomly"- will prepare an analytic solution.
My remark re Lord's solution was regarding small typo which affected the final answer, not abouit the basic assumption- i.e. considering the envelopes undistinguishable. I believe his  and SH's solutions would be  correct , if the word different were omitted or disclaimed   or the "random" process strictly defined.

Edited on January 28, 2019, 7:27 am
  Posted by Ady TZIDON on 2019-01-26 17:03:19

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