32. In which cases does a month have the maximum number of Saturdays? What is this number?
32. The maximum number of Saturdays in one month is 5, since $7 \cdot 4=28 ; 28<30$ and $28<31$. In February, there can be 5 Saturdays if it is a leap year and the month starts on a Saturday. April, June, September, and November will have 5 Saturdays if they start on a Saturday or a Friday. The remaining months can have 5 Saturdays if they start on a Saturday, Friday, or Thursday.