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A society consists of only two types of people - fighters and coward. Two cowards are always friends. A fighter and a coward are always enemies. Fighters are indifferent to one another. If A and B are enemies, C and D are friends, E and F are indifferent to each other, A and E are not enemies, while B and F are enemies. Which of the following statements is correct?

A society consists of only two types of people - fighters and coward. Two cowards are always friends. A fighter and a coward are always enemies. Fighters are indifferent to one another. If A and B are enemies, C and D are friends, E and F are indifferent to each other, A and E are not enemies, while B and F are enemies. Which of the following statements is correct? Correct Answer A, E and F are fighters.

C and D are friends → both C and D are cowards.
E and F are indifferent to each other → both E and F are fighters.
B and F are enemies → F is a fighter and B is a coward. 
A and B are enemies → we know that B is a coward, which implies, A is a fighter.
Cowards = B, C, and D
Fighters = A, E, and F

Hence, A, E, and F being fighters is the correct option.

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