Question

In an introductory statistics class there are 4 men and 6 women. An examination is given, and the students are ranked according to their performance. Assume that no two students obtain the same score. (a) How many different rankings are possible?

Answer 1

3628800

Explanation:

The class has a total number of 10 students.

4men + 6women = 10 pupils

No two students scored the same score

Therefore, this implies that there would be 10! Scores

10! = 3628800

But if the men ranked amongst themselves and the women too amongst themselves we would have

(6!)(4!) = 17280