### Brain Teasers

# Bab, Beb, Bib, Bob and Bub Chess Tournament

5 men, whose names are Bab, Beb, Bib, Bob and Bub, took part in a chess tournament, and each player was going to play against each other player once. After some days passed, they decided to have a get-together. Bub asked the other men how many matches until then they had played.

Bab said: "I have played 1 match."

Beb said: "I have played 2 matches."

Bib said: "I have played 3 matches."

Bob said: "I have played 4 matches."

How many matches had Bub played?

Bab said: "I have played 1 match."

Beb said: "I have played 2 matches."

Bib said: "I have played 3 matches."

Bob said: "I have played 4 matches."

How many matches had Bub played?

### Hint

If you can't figure it out, draw a diagram.### Answer

Since Bob had played 4 matches, he must have played against all 4 other players, i.e. Bab, Beb, Bib, and Bub.The only match that Bab had played must have been against Bob.

Bib had played 3 matches, and he couldn't have played against Bab. Hence, Bib had played against Beb, Bob and Bub.

Beb had played against Bib and Bob, so he couldn't have played against Bab or Bub.

Therefore, Bub had played 2 matches, against Bib and Bob.

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