4. An automobile manufacturer has four different subcompact cars on the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and seven color schemes. How many different selections can a customer make? a. 54 b. 200 c. 162 d. 252 e. 63 5. How many three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions are allowed? a. 1320 b. 36 c. 1728 d. 15 e. 531441 6. In recent years the state of California issued license plates using a combination of one letter of the alphabet followed by four digits, followed by another three letters of the alphabet. How many different license plates can be issued using this configuration (with repetition)? a. 1,358,800,000 b. 4,569,760,000 c. 26,000,000 d. 1,808,352,000 e. 175,760,000 7. Computers manufactured by a certain company have a serial number consisting of three letters of the alphabet followed by a three-digit number. If all the serial numbers of this type have been used(repetition is not allowed), how many sets have already been manufactured? a. 11,232,000 b. 1,676,000 c. 17,576,000 d. 650,000 e. 12,654,720 8. A serial number for a computer consists of 4 letters, followed by 5 digits. The letters O, I and Q are not used. How many serial numbers are there if: A. Letters can be repeated but digits cannot be repeated? a. 967,852,720,000 b. 13,818,954,240 c. 2,798,410,00 d. 1,234,960,000 e. 8,462,391,840 9. B. Digits can be repeated but letters cannot be repeated? a. 45,698,000,000 b. 21,252,000,000 c. 27,984,100,000 d. 23,425,600,000 e. 84,124,200,000 10. Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from left to right. How many seating arrangements are there if: Girls sit in the first two seats as well as the last seat? a. 86,400 b. 22,800 c. 46,320 d. 120,000 e. 2,940