Axiom Systems Logic puzzle Four men and four women were nominated for two positi

Question

Axiom Systems Logic puzzle
Four men and four women were nominated for two positions on the school board. One man and one woman were elected to the positions. Suppose the men are named A, B, C, and D and the women are named E, F, G, and H. further, suppose that the following statement are true:
1. If neither A nor E won a position, then G won a position.
2. If neither A nor F won a position, then B won a position.
3. If neither B nor G won a position, then C won a position.
4. If neither C nor F won a position, then E won a position.
Who were the two people elected to the school board?

Explanation / Answer

Axiom Systems Logic puzzle
Four men and four women were nominated for two positions on the school board. One man and one woman were elected to the positions. Suppose the men are named A, B, C, and D and the women are named E, F, G, and H. further, suppose that the following statement are true:
1. If neither A nor E won a position, then G won a position.
2. If neither A nor F won a position, then B won a position.
3. If neither B nor G won a position, then C won a position.
4. If neither C nor F won a position, then E won a position.
Who were the two people elected to the school board?

THERE ARE 16 POSSIBILITIES AS GIVEN BELOW ...

SO CHECKING THEM SUCCESSIVELY FOR CONFORMITY WITH THE ABOVE 4 STATEMENTS , AS SHOWN BELOW ,WE GET B AND E ARE ON THE COMMITTEE

SO THE ANSWER IS

B AND E were the two people elected to the school board...........ANSWER

A E 3X A F 3X A G 2X A H 3X B E OK……. B F B G B H C E C F C G C H D E D F D G D H

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