Question

HELPPPPPP!!

Leila, Larry, and Cindy are running for 12th grade class offices. They will be named to the positions of president, vice-president, and secretary according to the number of votes each receives. The person with the most votes will be president, the person with the second-highest number of votes will be vice-president, and so on. In how many different ways can the three students form a set of class officers?

Answer 1

In 6 different ways can the three students form a set of class officers.

Explanation:

There are 3 people Leila, Larry, and Cindy and 3 positions president, vice-president, and secretary.

We need to find In how many different ways can the three students form a set of class officers.

This problem can be solved using Permutation.

nPr = n!/(n-r)! is the formula.

Here n = 3 and r =3

So, 3P3 = 3!/(3-3)!

3P3 = 3!/1

3P3 = 3*2*1/1

3P3 = 6

So, in 6 different ways can the three students form a set of class officers.