Question

please write clearly. thanks

Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a 1? 3. How many bit strings are there of length six or less, not counting the empty string? 4. A committee is formed consisting of one representative from each of the 50 states in the United States, where the representative from a state is either the governor or one of the two senators from that state. How many ways are there to form this committee? 5. How many license plates can be made using either three uppercase English letters followed by three digits or four upper case English letters followed by two digits? 6. How many strings of eight uppercase English letters are there a. if letters can be repeated? b. if no letter can be repeated? c. that start with X, if no letter can be repeated? d. that start and end with X, if letters can be repeated? e. that start with the letters BO (in that order), if letters can be repeated? 7. At a large university, 434 freshmen, 883 sophomores and 43 juniors are enrolled in an introductory algorithms course. How many sections of this course need to be scheduled to accommodate all these students if each section contains 34 students? 8. How many ways are there to seat four of a group of ten people around a circular table where two seatings are considered the same when everyone has the same immediate left and immediate right neighbor? 9. A wired equivalent privacy (WEP) key for a wireless fidelity (WiFi) network is a string of either 10, 26, or 58 hexidecimal digits. How many different WEP keys are there? 10. Use a tree diagram to determine the number of subsets of (3, 7, 9, 11, 24) with the property that the sum of the elements in the subset is less than 28.

Answer 1

= 13 со — 39 = Чо