10. Working in a collective farm orchard harvesting fruits, schoolchildren collected 22 crates, some of which contained apples, others pears, and still others plums. Can it be asserted that there are at least 8 crates, the contents of which are one of the specified types of fruit?
10. Let's consider the most "unfavorable" case. Suppose there are 7 boxes of apples, pears, and plums each. This makes a total of 21 boxes. If the 22nd box is with apples, then there will be 8 boxes of apples; if this box is with pears, then there will be 8 boxes of pears; if this box is with plums, then there will be 8 boxes of plums. In other cases, there will be more than 8 boxes containing one of the three types of fruits.