Permutations and Combinations Questions

In a school sports club, $25$ students decided to participate in a table tennis singles tournament. Each time a student loses a match, they are eliminated from the tournament. What is the minimum number of matches required to determine the winner?

A vendor has $9$ different fruits. In how many ways can he select $3$ fruits?

A committee of $3$ members is to be formed from $5$ men and $4women$. What is the probability that the committee contains at least one woman?