Sequences & Series, Binomial Expansion, Counting Principles




What kind of problem is this?
How many different choices are available for a car if there are 4 different body styles, three different types of engines, and 10 different colors?
Answer the question:
How many different choices are available for a car if there are 4 different body styles, three different types of engines, and 10 different colors?
How many different passwords can be made if it is three letters, followed by two digits, followed by a letter? (Repetition is allowed.) Use the fundamental counting principle.
Answer the question:
The ski club has ten members to choose two co-captains. How many ways can these positions be filled?
Answer the question
How many ways can 1st place, 2nd place, and 3rd place be chosen if there are 55 contestants in the beauty pageant?