1. A man has five different pairs of gloves. In how many ways can he select a right-hand glove and a left-hand glove that do not match?
2. Fred has 11 different pairs of shoes. In how many ways can he put on a pair of shoes that do not match?
3. Toss a coin six times, and observe the sequence of heads and tails that results. How many different sequences are possible?
4. Refer to Exercise 37. In how many of the sequences are the first and last tosses identical?
5. An exam contains five true-or-false questions. In how many different ways can the exam be completed? Assume that every question must be answered.
6. Exam Questions An exam contains five true-or-false questions. In how many ways can the exam be completed if leaving the answer blank is also an option?