5.4

1. When ordering a certain type of computer, there are three choices of hard drive, five choices for the amount of memory, three choices of video card, and three choices of monitor. In how many ways can a computer be ordered?
2. A quiz consists of three true-false questions and two multiple-choice questions with five choices each. How many different sets of answers are there?

1. Evaluate the permutation.7 P1
2. Evaluate the combination. 10C3
3. A local pizza parlor is offering a half-price deal on any pizza with one topping. There are nine toppings from which to choose. In addition, there are two different choices for the size of the pizza, and four choices for the type of crust. In how many ways can a pizza be ordered?
4. Josephine has seven chemistry books, three history books, and six statistics books. She wants to choose one book of each type to study. In how many ways can she choose the three books?
5. Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order.

7a In a seven-horse field, how many different ways can one make a trifecta bet?

7b In a seven-horse field, how many different ways can one make a box trifecta bet?

8 License plates: In a certain state, license plates consist of four digits from

0 to 9 followed by two letters. Assume the numbers and letters are chosen at random. Replicates are allowed.

8a How many different license plates can be formed?

9 It's in your genes: Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are calledbases. Acodon is a sequence of three bases. Replications are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different protein to be created.

9a How many different codons are there?

9b How many different codons are there in which all three bases are different?

9c The bases A and G are calledpurines, while C and T are calledpyrimidines. How many different codons are there in which the first base is a purine and the second and third are pyrimidines? What is the probability that all the three bases are different? Answers should be in a fraction, decimal, or a percent. Answer should not be rounded up

9c What is the probability that the first base is a purine and the second and third are pyrimidines? Answers should be in a fraction, decimal, or a percent. Answer should not be rounded up

10Choosing officers: A committee consists of ten women and nine men. Three committee members will be chosen as officers.

10a How many different choices are possible?

10b How many different choices are possible if all the officers are to be women?