Puzzle:

In a contest, five fruits (an apple, a banana, an orange, a strawberry and a pear) have been placed in five closed boxes (one fruit per box). People may guess which fruit is in which box. 107 people participate in the contest. When the boxes are opened, it turns out that 40 people have guessed none of the fruits correctly, 30 people have guessed one fruit correctly, 20 people have guessed two fruits correctly and 10 people have guessed three fruit correctly. How many people have guessed four fruits correctly and how many people have guessed all the fruits correctly?

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Solution:

It is not possible to guess only four fruits correctly: the fifth fruit is then correct too! So nobody has guessed four fruits correctly and 107-40-30-20-10 = 7 people have guessed five fruits correctly.