6.1. Sixty students went on a trip to the zoo. Upon returning to school, it turned out that 55 of them had forgotten their gloves, 52 - their scarves, and 50 had managed to forget their hats. Find the smallest number of the most absent-minded students - those who lost all three items.
Answer: 37 students.

Solution: From the condition, it follows that five students have gloves, eight have a scarf, and ten have a hat. Thus, at least one item is owned by no more than $5+8+10=23$ people. Therefore, no fewer than $60-23=$ 37 people have lost all three items. All three items will be lost by exactly 37 people if each of the remaining 23 loses exactly two items.