Show all work A class consists of 6 men and 4 women An exami

Show all work

A class consists of 6 men and 4 women. An examination is given and the students are ranked according to their scores. Assume that no two students have the same score. How many rankings are possible if the first two are ranked by women?

Solution

There are 4P2 = 12 ways to choose the first two women.

Then, there are 8! = 40320 ways to rank the other 8.

Thus, there are 40320*12 = 483840 rankings possible [ANSWER]