Question

A class consists of 8 students ​(four boys and four ​girls) and one teacher. In how many ways can the students sit in a​ circle?

Answer 1

Answer: 5040ways

Explanation:

This is a circular permutation question. Arrangement of objects in a circular path is (n-1)! where n is the amount of object. Since there are 8 students sitting in a circle excluding their teacher, they can sit in (8-1)! ways i.e 7! ways

7! = 7×6×5×4×3×2×1

7! = 5040ways

This means the students can sit in a circle in 5,040 ways