1. A pizza parlor offers a choice of 14 different toppings. How many 4-topping pizzas are possible? (no double-orders of toppings are allowed) In this situation, does the order of the toppings matter? Input yes or no.

2. How many different 6 card hands can be dealt from a deck of 52 cards? The order of the cards does not matter in this case.

3. There are nine female board members and twenty-one male board members. a. How many ways are there to make a committee of twelve board members?

b. How many ways are there to make a committee of twelve board members if exactly two must be female? c. Determine the probability of selecting a committee of twelve board members where exactly two of the members were female. Write the answer as a decimal, rounded to the nearest thousandth.

4. A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write the answers in percent form, rounded to 4 decimal places.

a. Determine the probability that exactly 3 of these cards are Aces.

b.Determine the probability that all five of these cards are Spades. c. Determine the probability that exactly 3 of these cards are face cards.

d. Determine the probability of selecting exactly 1 Jack.

5. Suppose a jar contains 19 red marbles and 35 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write the answer as a reduced fraction.

6. A math class consists of 19 female students and 20 male students. Two students are selected at random to participate in a probability experiment. Compute the following probabilities. Write the answers in decimal form. Round to the nearest thousandth as needed. a. a male is selected, then a female

b. a female is selected, then a male

c. two males are selected

d. two females are selected

e. no males are selected