let's do puzzles: logic game #18

Six students must participate in a committee-either the dance committee or the parade committee-to organize the homecoming weekend activities. Each of the six students-Quinton, Robert, Sutall, Tijkman, Valse, and Xi-will be on one of the committees. The participation of the students will be in accordance with the following conditions:

   If Quinton is on the parade committee, Tijkman is on the dance committee.
   Valse is on the parade committee if Tijkman is on the parade committee.
   Xi and Valse are always on different committees.
   Sutall is on the dance committee if Tijkman is on the dance committee.

   At least two students must participate in each committee.

SOLUTION: 
1. Qp->Td
Tp->Qd
2. Tp-> Vp
Vd->Td
3. Never XY.
4. Td->Sd

Sp->Tp
Sp->Tp->Qd
         Tp->Vp

Qp->Td->Sd
Vd->Td


NOTE: Proper sketch is the key to the game. In this case, the combination of formal logic chain plus a table (to keep track of variables) proved to be a promising remedy in solving this type of game, i.e., Distribution.