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

Selecting 2 orange tabbies from 9 kittens at an animal rescue shelter.

An arrangement of the letters in the word rhombus.

How many hockey teams of 6 players can be formed from 14 players without regard to position played?

A track race consists of 9 runners. In how many ways can the podium of the top 3 runners be ordered?

A school librarian would like to buy subscriptions to 7 new magazines. Her budget however, will allow her to buy only 4 new subscriptions. How many different groups of 4 magazines can she choose from the 7 magazines?

You are asked to list, in order of preference, the 5 best movies you have seen this year. If you saw 7 movies during the year, calculate how many ways your list can be arranged.

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?

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?

From a standard deck of 52 cards, in how many ways can 7 cards be drawn?

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?

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