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 Three subsets (Posted on 2014-08-15)
You are requested to create 3 disjoint sets such that:
1. Their union is a set of 10 digits (i.e. integers from 0 to 9 inclusive).
2. The average value of the members of set A is 3.5.
3. The number of members in B is less than the number of members in C.

How many distinct solutions are there?

Rem: No empty sets.

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer solution HINTS | Comment 4 of 13 |
(In reply to computer solution by Charlie)

Ch, it is not a d2 question.

Set  A may consist of 2 elements in 4 distinct ways: (0,7)  (1,6)  (2,5) (3,4),-  for each of these sets are numerous distinct distributions of elements in B and C   1-7   (1 member in B - 7 in C)-    8   ways to chose ,,,,  .      2-6 .....28 ways.  3-5..   56 ways

etc   etc etc etc etc

just till now 4*(8+28+56), much more than 9  !

...I am not going to solve now..leave it to you,

 Posted by Ady TZIDON on 2014-08-15 16:43:48

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