How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees?

In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both coffee drink how many patrons don’t like either of the coffee drinks

Paul plans to assemble his own personal computer by himself. He tried to look for all possible stores and was able to find 2 stores for the chip, four for the hard drive, three for the memory, and all other accessory bundle from five different stores. How many different ways can Paul order the parts he needs for his PC?

A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take?

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees are possible if 2 men refuse to server together and 2 women will only serve together if they are together.

An advisory committee is being formed for a new project at a company. The committee has 6 identical positions to be filled. The committee is to consist of 2 people chosen from the Research and Development Department, which has a total of 12 employees, and 4 people from the Marketing Department, which has a total of 20 employees. How many total possible advisory committees could be formed from these choices?

If a team of four players must be made from eight boys and six girls, how many teams can be made if they must all be boys?

Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings and four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Pizza Gut?

A class of 15 students needs to elect a class president, vice president, treasurer, and secretary. How many ways can this be done if each student can serve at most one position?

Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.