Principle of Counting and Permutation

The bookstore is giving away 10 different albums and 5 books. If Gabriel can select only one album or one book, how many choices does he have?

How many ways can two distinct prizes be given to a class of 10 students, without giving both to the same student?

A restaurant has 3 appetizers, 4 main courses, and 3 desserts. If you decides to order one appetizer, one main course, and one dessert, how many different meals can you order?

Suppose you are given the digits ( 0, 1, 2, 3, 4, 5, 6 ). How many three digit numbers can be form if:

a) repetition of digits is allowed?b) the three digit number must be an odd number and repetition is not allowed.

How many different ways can five people be arranged in a line?

How many different ways can 11 ladies and 11 gentlemen form themselves into couple for a dance?