A company is creating three new divisions and seven managers are eligible to be appointed head of a division. How many different ways could the three new heads be appointed?
1 Answer
Explanation:
Before we tackle this problem, it's important to note that, in this situation, the order we pick the managers matters, as each will be heading a different one of the three new divisions. If we had selected three managers A, B, and C from the seven and made the assignments ABC and ACB, those two would not be equivalent, since B and C would be heading different divisions in each.
Now, for the first division, we'll be able to select from any of the
In total, we'll have