Three ***ers and three ###ers are traveling by train to a conference. The ***ers each buy a ticket but the three ###ers buy only one. "How are three people going to travel on one ticket?" asked one of the ***ers. "You'll see," says the ###er.

The ***ers take their respective seats but all three ###ers cram into a restroom. When the conductor comes to collect the tickets, he knocks on the restroom door. "Tickets, please." The door opens a crack and a single ticket emerges. The conductor takes it and moves on.

Returning from the conference, the ***ers decide to buy a single ticket. To their astonishment, the ###ers don't buy a ticket at all. "How are you going to travel without a ticket?" asks a ***er. "You'll see," says the ###er.

The ***ers cram into a restroom and the ###ers cram into another one nearby. Then, one of the ###ers leaves his restroom, walks over to the restroom where the ***ers are hiding, knocks on the door and says: "Ticket, please."

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determining the respective professions is left as an exercise for the student. show your work.

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