Counting & Probability - Midterm Review

The manager of a baseball team has 15 players on his roster and must fill out his lineup card with only 9 of the players. How many ways can he fill out his lineup card?

Mr. Quigley has 8 comedy movies and 6 drama movies to pick from. He is going to randomly select 3 of the movies to watch tonight. What is the probability that all the movies are comedies?

Mr. Quigley has 8 comedy movies and 6 drama movies to pick from. He is going to randomly select 3 of the movies to watch tonight. What is the probability that only one comedy is picked?

Mr. Quigley has 8 comedy movies and 6 drama movies to pick from. He is going to randomly select 3 of the movies to watch tonight. What is the probability that at least one movie is a comedy?

A company offers white copy paper in 5 different strengths, 11 different degrees of brightness, recycled or not, and acid-free or not. How many different types of white copy paper are available?

There are 12 students who wish to enroll in a particular course. There are only 4 seats left in the classroom. How many different ways can 4 students be selected to attend the class?

How many different ways can the President, VP and treasurer positions be elected for NHS among 50 students?

There are 5 identical tables and 3 identical desks in a row. How different ways can the row be arranged? (Hint: Think of the row as a "word" spelled with the letters "T" and "D".)

A pool of applicants consisting of six men and seven women will be used to randomly fill three job openings. What is the probability that all three openings are filled by men?

A pool of applicants consisting of six men and seven women will be used to randomly fill three job openings. What is the probability that only one man is hired?