four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). Contestants have to guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.

How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

Originally posted by HandyAndy None has guessed only three fruits correctly and 10 have guessed four fruits correctly. If you have three, the fourth is automatic.

No, some nitwit could have guessed apple, banana and orange correctly, but in the fourth box he guessed a kiwi. He had three, but not the fourth, hence not automatic.

Originally posted by FabianFnas No, some nitwit could have guessed apple, banana and orange correctly, but in the fourth box he guessed a kiwi. He had three, but not the fourth, hence not automatic.

The problem specifies four fruits, apple, banana, orange and pear. It is limited to those four. No kiwi.

Originally posted by FabianFnas But the nitwit didn't understand that part. So he got three rights and one wrong. Right?
And the nitwit happens to like kiwis.

Originally posted by FabianFnas But the nitwit didn't understand that part. So he got three rights and one wrong. Right?
And the nitwit happens to like kiwis.

Originally posted by Mathurine [b]In a typical fruit-guessing contest.....

😉

four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). Contestants have to guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits corr ...[text shortened]... i]three[/i] fruits correctly, and how many people have guessed four fruits correctly?[/b][/b]