- 02 Feb '07 15:02
**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 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? - 02 Feb '07 17:35

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 HandyAndy***None has guessed only three fruits correctly and 10 have guessed four fruits correctly. If you have three, the fourth is automatic.** - 02 Feb '07 19:00

The problem specifies*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.****four**fruits, apple, banana, orange and pear. It is**limited**to those four. No kiwi. - 08 Feb '07 19:03

0 people got three and 10 got the four.*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]