Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member teams can be formed from only female students?

How many different selections of three books can be made from a set of fifteen books?

A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club contains 7 men and 4 women, how many distinct groups of five contain at most two women?

If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish the race?

In a certain company 80 of the employees are men. What is the total number of employees if 5 out of every 8 employees are men?

How many ways are there to choose a team of 11 players from a panel of 15 players?

4. A supermarket manager finds that 20% of his customers buy Brand X cornflakes. The other 80% buy Brand Z. a) In a random sample of 10 customers, what is the probability that at least 4 customers buy Brand X? b) In a random sample of 100 customers, what is the probability that between 15 and 30 customers (inclusively) buy Brand X? c) What is the minimum number of boxes of Brand X cornflakes that the manager should have in stock to ensure, with a probability of at least .95, that he can meet the Brand X demands of a random sample of 225 customers (assuming 1 box per customer)? Answers: 4. a) 0.121 b) 0.9119 c) 55

A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?

how many ways can a group of 4 boys be selected from 9 boys?

A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?