1. If a committee of 3 is to be chosen at random from a class of 14 students, what is the probability of any particular committee being selected? (Enter your answer as a fraction.)
2. What if the committee is to consist of a president, a vice president, and a treasurer? (Enter your answer as a fraction.)
3. A computer password is to consist of four alphanumeric characters with no repeats. (An alphanumeric character is a letter from A to Z or a digit from 0 to 9.) How many such passwords are there?
4. How many are there if the letter 0 and the digit 0 are excluded to avoid confusion?