Alice, Bill, Carol, David, and Eleonor went to visit several
countries in South America. Each of them visited three of the following
countries: Argentina, Brazil, Chile, Peru and Uruguay.
To solve this puzzle, create a table below with Y
representing the countries visited, and X representing the countries not
visited.
Alice did not visit Argentina.
Bill did not visit Brazil.
Carol did not visit Chile.
David did not visit Peru.
Eleonor did not visit Uruguay.
Based on the above, we start the following table:
|
Argentina |
Brazil |
Chile |
Peru |
Uruguay |
Alice |
X |
|
|
|
|
Bill |
|
X |
|
|
|
Carol |
|
|
X |
|
|
David |
|
|
|
X |
|
Eleonor |
|
|
|
|
X |
Alice is the only one who visited Brazil.
|
Argentina |
Brazil |
Chile |
Peru |
Uruguay |
Alice |
X |
Y |
|
|
|
Bill |
|
X |
|
|
|
Carol |
|
X |
X |
|
|
David |
|
X |
|
X |
|
Eleonor |
|
X |
|
|
X |
Since we know the two countries which Carol,
David and Eleonor did not visit, we know the three countries each visited.
|
Argentina |
Brazil |
Chile |
Peru |
Uruguay |
Alice |
X |
Y |
|
|
|
Bill |
|
X |
|
|
|
Carol |
Y |
X |
X |
Y |
Y |
David |
Y |
X |
Y |
X |
Y |
Eleonor |
Y |
X |
Y |
Y |
X |
Only two of them visited Uruguay. Therefore, Alice
and Bill did not visit Uruguay.
|
Argentina |
Brazil |
Chile |
Peru |
Uruguay |
Alice |
X |
Y |
|
|
X |
Bill |
|
X |
|
|
X |
Carol |
Y |
X |
X |
Y |
Y |
David |
Y |
X |
Y |
X |
Y |
Eleonor |
Y |
X |
Y |
Y |
X |
Now, we know the two countries Alice and Bill did not
visit, so we know which three countries they visited.
|
Argentina |
Brazil |
Chile |
Peru |
Uruguay |
Alice |
X |
Y |
Y |
Y |
X |
Bill |
Y |
X |
Y |
Y |
X |
Carol |
Y |
X |
X |
Y |
Y |
David |
Y |
X |
Y |
X |
Y |
Eleonor |
Y |
X |
Y |
Y |
X |
From the table above, we know that:
Alice visited Brazil, Peru and Chile.
Bill visited Argentina, Chile and Peru.
Carol visited Argentina, Peru and Uruguay.
David visited Argentina, Chile and Uruguay.
Eleonor visited Argentina, Chile and Peru.
|