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.

(In reply to final (?) revision by Charlie)

You may remove the ? sign.

This is the correct answer.

Posted by Ady TZIDON on 2014-08-16 11:34:41