if a job is hiring 4 different job candidates how many interviews can be ordered on Thursday Choices are 4, 10, 16 or 24

Question

If a job is hiring 4 different job candidates how many interviews can be ordered on Thursday Choices are 4, 10, 16 or 24 

Answer 1

We have four distinguishable candidates, so the order in which they are placed matters. 

S = {1234, 1324, 1432, 1243,...}

 

So we have four different choices for the first candidate, three for the second, two for the third, and one for the last.

 

This is a permutation of 4 items in a group of 4

 

Which is equal to 4! = 4 * 3 * 2 * 1 = 24