1. Assignments

In how many different ways can three employees (Pat, Chris, Sam) divide up 12 assignments so that Pat covers 3, Chris covers 5, and Sam covers 4.

2. Grains

In how many different ways can a shopper purchase 4 ounces each of 4 of the 15 types of grains the food market offers for sale.

3. Coin Tosses

For 32 tosses of a fair coin, what are the probabilities of getting 0, 1, 2, 3, 4, 5 tails?

4. Ice Cream

An ice cream shop offers banana splits with 3 scoops of ice cream. In how many ways can a customer select 3 different flavors from among the 10 the shop offers?

5. Test Taking

A true false test contains 12 questions. How many ways can a student mark each question true or false and get eight right and four wrong

6. Eggs

In a set of a dozen eggs, one egg is spoiled. How many ways can one choose three eggs and (a) get the one that is spoiled?

(b) not get the one that is spoiled?

7. Committee Composition

Jane is one of seven employees in a small company. Three employees will be selected to serve on a committee.

1. (a)In how many different ways can three of these people be chosen to serve on the committee?
2. (b)In how many different ways can three of these people be chosen so that Jane is not on the committee?
3. (c)In how many different ways can three of these people be chosen so that Jane is on the committee?
4. (d)Verify that your solutions to (b) and (c) add up to the solution to (a).

8. Probability and Odds

If the probability of an event happening is 6/17, what are the odds of the event happening?