1. Find the number of ways the letters of the words FURTHER can be permuted.
2. Five different objects are spaced out evenly round a circle. In how many ways can they be arranged?
3. Seven students were late to a class. In how many ways can they occupy?
a. Three available vacant seats
b. Nine available vacant seats.
4. Find the number of times the word LAGOS can be permuted.
5. Find the number of ways the word MATHEMATICS can be permuted.