Answer the following word problems, show your solution.

For numbers 1 - 4, how many ways can each procedure occur?

1. Line up three people for a photograph.

2. Prioritize four pending jobs from most to least important.

3. Arrange five books on a bookshelf from left to right.

4. Award ribbons for 1st place to 5th place to the top five dogs in a dog show.

5. How many words can be formed from the letters of the word BUSINESS?

6. Excluding J, Q, X, and Z, how many 3-letter crossword puzzle entries can be formed that contain no repeated letters?

7. How many distinguishable 11-letter "words" can be formed using the letters in MISSISSIPPI?

8. The 13 members of a certain club are electing a President, Vice-President, and Secretary from among their members. How many different ways can this be done?

9. From among 12 projects under consideration, the mayor must put together a list of 6 projects to submit to the city council for funding? How many such lists can be formed?

10. Fifteen pigs are available to use in a study to compare three different diets. Each of the diets (1, 2, 3) is to be used on five randomly selected pigs. In how many ways can the diets be assigned to the pigs?