Question

Determine whether to use a permutation or combination for the following, then determine the total number of outcomes.There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen?

Answer 1

In the present problem, to determine which among the 10 will be the president there are 10 possibilities. To determine which one among those left to be the treasurer is 9.

The total number of different combinations is equal to:

$10\times9=90$