Evaluate:

What is the probability of flipping exactly one heads and exactly one tails in two coin tosses?

In a class of 24 students, how many distinct groups of 4 can be formed?

Evaluate:

There are runners in a race. How many different arrangements are there for , , and place?

How many possible ways can the letters A and B be assigned to nine people?

The soccer team awards gold, silver, and bronze trophies for the top three goal scorers over the season. If the soccer team has 11 players, how many different ways could the gold, silver, and bronze trophies be awarded?

7 students try out for the roles of Starsky and Hutch in a new school production. How many different ways can these roles be cast?

There are 5 men and 4 women competing for an executive body consisting of :

1. President
2. Vice President
3. Secretary
4. Treasurer

It is required that 2 women and 2 men must be selected

How many ways the executive body can be formed?

An ice cream vendor sells five different flavors of ice cream.

In how many ways can you choose three scoops of different ice cream flavors if order matters?