Placing a red rose bush, a yellow rose bush, a white rose bush, and a pink rose busy in a row in a planter.

Choosing the first, second, and third-place finishers in a race with 10 competitors

Seating 5 men and 5 women alternately in a row, beginning with a woman.

From a group of 10 men and 12 women, how many committees of 5 men and 6 women can be formed?

Your school newspaper has an editor-in-chief and an assistant editor-in-chief. The staff of the newspaper has 12 students. In how many ways can students be chosen for these two positions?

Farmington High is planning its academic festival. All math classes will send 2 representatives to compete in the math bowl. How many different groups of students can be chosen from a class of 16 students?

In how many ways can you pick 5 cards if you must choose a Queen, then a King and, then 3 other cards if every card is drawn one at a time?

Introducing the 5 starting players on the Blue Devil’s basketball team at the beginning of the next basketball game.

Choosing 3 side-dishes from a menu that offers 6 vegetable side-dishes and 4 starches if you want at least one of each.

Making a 5-sided polygon by choosing any of 5 of 11 points located on a circle to be the vertices.

An airline is hiring 5 flight attendants. If 8 people apply for the job, how many different groups of 5 attendants can the airline hire?

Forming a 4-person sales team from a group of 12 salesmen and 8 saleswomen, if you want at most 2 women on the team.

A photographer is taking pictures of a bride and groom and their 6 attendants. If she takes photographs of 3 people in a group, how many different groups can she photograph?