Permutations: Distinct Objects

The video tutorial introduces permutations, explaining how to calculate them using factorials. It covers both scenarios where repetition is not allowed and where it is allowed. The tutorial provides examples and solves various permutation problems, including arranging friends for a photo, forming words, and creating security passwords. It also explores practical applications of permutations in real-world scenarios, such as arranging horses in a field and generating car number plates.

Explain how to find the number of permutations of n distinct objects taken all at a time.

What is the total number of permutations of seven distinct objects taken five at a time?

How many integers greater than 99 and less than 1000 can be formed using the digits 2, 4, 6, and 8?

How many car numbers can be created for a company where the format is AB followed by four digits?