In a class of 6 girls and 5 boys, how many seating arrangements can be done

A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?

There are 24 students playing basketball at lunch. How many different three-person teams can be chosen?

A company owns buses that hold only 25 people. How many of these buses are required to transport 107 people?

In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the trophies be awarded?

At the Harris Burger Bar each customer designs their own burger by choosing: one from two types of bun, one from three types of filling, and two different side dishes from six available. How many different burgers can be created?

four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of the people agree to share the driving. in how many different arrangement can the four people sit?

In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?

A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible 3-course meals are there?

A teacher is organizing a seating plan for the students in the first row.  The first row has either 5 seats or 9 seats, depending on how the desks are positioned.  Determine the number of seating arrangements the teacher has.