Show that at least ten of any 64 days chosen must fall on the same day of the week.

Solution:Step-1: In this problem we need to show that at least ten of any 64 days chosen must fall on the same day of the week.Step-2: For our convenience , let us choose any 64 consecutive days. We know that there are seven days in one week , the day seven days after the first falls on the same day of the week.Likewise , so does...