In: Statistics and Probability
1.How many ways can you select 1 tennis racket, 1 can of tennis balls, and 1 pair of tennis shoes from 4 tennis rackets, 5 cans of tennis balls, and 3 pairs of tennis shoes?
2. There are 26 letters and 10 digits. How many different ID tags consisting of 3 letters followed by 3 digits can be made if the first letter must be an L or a U and repetition is allowed in both the letters and the digits?
3. There are 26 letters and 10 digits. How many different ID tags consisting of 3 letters followed by 3 digits can be made if the first letter must be an L or a U and repetition is not allowed in either the letters or the digits?
4. How many ways can a club with 12 members select a committee of 3 people?
5. How many ways can a club with 12 members select a president, a vice president, and a secretary?