In a contest four fruits (an apple a banana an orange and a pear) have been placed in four closed boxes (one fruit per box). People may 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. The Question: How many people have guessed three fruits correctly and how many people have guessed four fruits correctly?
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