There are three doors, each with a different path behind it. One door leads to $1 million and the other two doors lead to a pile of leaves. In front of each door is a doorman. You know that one of them always tells the truth and the other two always tell lies.

Doorman #1 says, "My door does not lead to the money."

Doorman #2 says, "My door leads to the money."

Doorman #3 says, "I always tell the truth. My door leads to a pile of leaves."

Which door leads to the money?

Question

Mathematics

Clarke

26 February, 00:58

There are three doors, each with a different path behind it. One door leads to $1 million and the other two doors lead to a pile of leaves. In front of each door is a doorman. You know that one of them always tells the truth and the other two always tell lies.

Doorman #1 says, "My door does not lead to the money."

Doorman #2 says, "My door leads to the money."

Doorman #3 says, "I always tell the truth. My door leads to a pile of leaves."

Which door leads to the money?

+4

Answers (2)

Know the Answer?

Alan · Answer 1

Make a table

3 scenarios

1.

if we assume that dorman1 tells truth and the other 2 lie then

1:leaves

2: leaves

3: money (lying both times)

no contradiction

2. if we assume that dorman 2 tells truth and the other 2 lie then

1. money

2. money

3. money

contradiction, there should only be 1 money

3. assume dorman 3 tells truth and the other 2 lie

1. money

2. leaves

3. leaves

either dorman 1 or 3 has the money

Evelin Myers · Answer 2

Evelin Myers 26 February, 04:13

0

I think the answer is Doorman #2