"The student body of 165 students wants to elect three representatives". Is this a permutation, combination, or neither?

There are 10 students at a meeting. They each give a Graduation Day card to everyone else. How many cards were given?

In a primary election, there are four candidates for mayor, five candidates for city treasurer, and two candidates for county attorney. In how many ways may voters mark their ballots if they vote in all three of the races?

A multiple choice test consists of 15 questions, each permitting a choice of 5 options. In how many ways may a student fill in the answers if they answer each question?

Suppose a True-False test has 20 questions. In how many ways may a student mark the test, if 7 questions are marked correctly and 13 incorrectly?

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled with any two of the nominees?

Use the fundamental counting principle to determine the number of ways a 4-digit pin number can be created if the first digit cannot be zero.

In how many different ways can a committee of three people be selected from a total of eight?

An ice cream parlor has 15 different flavors. Michelle orders a sundae and has to select 3 flavors. How many different selections are possible?

The manager of a 9 member baseball team must arrange the batting order. In how many ways can the manager of a baseball team arrange his players if there are no restrictions on the order?

A man has 8 pairs of pants, 12 shirts, 15 ties, and 6 sport coats. If he wears one of each, how many different outfits can he wear?

There are 35 students on a football team. They must elect 3 students to serve as captains. How many different ways could the election turn out?

From a box of 16 color crayons, you select 4 as your favorites. How many different ways can you make this selection?

From a class with 20 students, I need to select a group of 9 students to perform a top-secret mission. How many different ways can this group be selected?

Suppose that there are 3 roads connecting Town A to Town B, 4 roads connecting Town B to Town C, and 2 roads connecting Town C to Town D. How many different ways are there to travel from Town A to Town D?

Suppose a club has 20 members. In how many different ways could the club choose a president, vice-president, and secretary?

Suppose there were 15 business people at a meeting. At the end of the meeting, each person at the meeting shook hands with every other person. How many handshakes were there?

Suppose that you have 12 books that are all different from each other. You've decided to let a friend borrow 3. How many different ways could your friend decide which books to borrow?

A baseball fan has a pair of tickets to 6 different home games of the San Diego Padres. If the fan has five friends who like baseball, how many ways may he take one along to each of the six games?