5. Suppose a True-False test has 20 questions. a) In how many ways may a student mark the test, if each question is answered?

Suppose you are asked to list, in order or preference, the three best movies you have seen this year. If you saw 10 movies during the year, in how many ways can the three best be chosen and ranked?

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repeats are possible?

Mr. Jones owns 4 pairs of pants, 7 shirts, and 3 sweaters. In how many ways may he choose 2 of the pairs of pants, 3 of the shirts, and 1 of the sweaters to pack for a trip?

In how many ways can I create 2 letter words from the letters in the word DAVE? Any 2 letters form a 2 letter word.

Selecting which seven players will be in the batting order on a 11 person team.

How many permutations are there of the letters in the word “greet”?

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

In how many ways may 8 people form a circle for a folk dance?

The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those offices be filled?

The student body of 10 students wants to elect a president, vice president, secretary, and treasurer.

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