Question

Question 1 A company is creating 3 new divisions and 10 managers are eligible to be appointed head of a division. How many different ways could the two new heads be appointed?

Answer 1

It is given that a company is creating 3 new divisions and 10 managers are eligible to be appointed head of a division. We have to find the number of ways the two new heads could be appointed.

Now, for the first head to be appointed, we will have 10 managers to choose from. After appointing the first head, we will be left with 9 managers. Thus, we can choose the second head from 9 managers.

Thus, we will multiply the two possible ways to get the required number of ways. Thus, the required number of ways = 10*9 = 90.

Thus, the number of ways in which the two new heads could be appointed = 90.