1.A multiple-choice test contains 5 questions. There are four possible answers for each question (a) How many ways can a student answer the questions on the test if every question is answered? (b) How many ways can a student answer the questions on the test if the student can leave answers blank? 2.There are four major routes from Charlotte to Detroit and five from Detroit to San Francisco. How many routes are there from Charlotte to San Francisco via Detroit? 3. How many three-letter initials can people have? 4. How many three-letter initials are there that begin with an A? 5. How many different functions are there from a set with 5 elements to a set with 7 elements? 6. How many binary strings of length 9 begin and end with a 1? 7. How many binary strings are there of length six or less