1) Juan owns 8 pairs of pants, 3 shirts, 5 ties, and 2 jackets. How many different outfits can he wear to school if he must wear one of each item? He can wear different outfits.

2) A pizza parlor offers a choice of 16 different toppings. How many 6-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. There are possible 6-topping pizzas.

3) In how many ways can first, second, and third prizes be awarded in a contest with 440 contestants? Your answer is______________

4) How many 8-letter words can be made from the letters WASTEFUL if repetition of letters is allowed? repetition of letters is not allowed?

5) A computer password is required to be 8 characters long. How many passwords are possible if the password requires 2 letter(s) followed by 6 digits (numbers 0-9), where no repetition of any letter or digit is allowed?

There are possible passwords.

6) A pianist plans to play 3 pieces at a recital from her repertoire of 24 pieces. How many different recital programs are possible?

7) A pizza parlor offers a choice of 16 different toppings. How many 6-topping pizzas are possible? Your answer is:

8) A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 7 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen? Your answer is:

9) A company has 8 male and 6 female employees and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?

10) A jury pool has 19 men and 22 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of

(a) all men

(b) all women

(c) 8 men and 4 women

(d) 6 men and 6 women

11)This year, there are seven freshmen, ten sophomores, ten juniors, and eight seniors are eligible to be on a committee.

In how many ways can a dance committee of 8 students be chosen? ways In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. ways In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 senions. ways Determine the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. Put answer in decimal form, rounded to the nearest thousandth. Answer: Determine the probability of selecting a committee consisting of 4 juniors and 4 senions. Put answer in decimal form, rounded to the nearest thousandth. Answer:

12)Assume that a procedure yields a binomial distribution with a trial repeated n=8 =8 times. Find the probability of exactly x=7 =7 successes given the probability p=0.45 of success on a single trial.

(Report answer accurate to 4 decimal places.)

P(x)=

13) Assume that a procedure yields a binomial distribution with a trial repeated n=11 =11 times. Find the probability of exactly x=7 =7 successes given the probability p=47% =47% of success on a single trial.

(Report answer accurate to 4 decimal places.)

P(X)=

14) Assume that a procedure yields a binomial distribution with a trial repeated n=10 =10 times. Find the probability of exactly x=5 =5 successes given the probability p= =1/4 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X)=

15) Assume that a procedure yields a binomial distribution with a trial repeated n=16 =16 times. Find the probability of exactly x=9 =9 successes given the probability q=0.31 =0.31 of success on a single trial.

(Report answer accurate to 4 decimal places.)

P(X)=

16) Suppose that 55% of all voters prefer Candidate A.

If 10 people are chosen at random for a poll, what is the probability that exactly 6 of them favor Candidate A?