Question

HELP ASAP Leadership positions for a college social club are up for electionThree people are needed to fill the positions of president vice president, and secretaryOnly 10 members are willing to serve in these positions. Each candidate is eligible for cach position, and a candidate can only hold one leadership position. How many different ways can the three positions be filled using the 10 possible candidates?

Answer 1

Answer: There are 10 candidates for each position, and since a candidate can only hold one leadership position, the number of ways to fill the president position is 10. After the president position is filled, there are 9 candidates remaining for the vice president position. Finally, there are 8 candidates remaining for the secretary position.

The total number of ways to fill the three positions is the product of the number of ways to fill each position. Therefore, the number of ways to fill the three positions is:

10 x 9 x 8 = 720

So there are 720 different ways to fill the three leadership positions using the 10 possible candidates.

Explanation: