Question

There are 30 students in a homeroom. How many different ways can they be chosen

to be elected President, Vice President, Treasurer, and Secretary?

Answer 1

There are 657,720 different ways to choose the President, Vice President, Treasurer, and Secretary from a homeroom of 30 students.

Step-by-step explanation:

To find the number of different ways to choose the President, Vice President, Treasurer, and Secretary from a homeroom of 30 students, we can use the concept of permutations. Since the positions are distinct and the order matters, we can use the formula for permutations. The formula for permutations is:

nPr = n!/(n-r)!

Where n is the total number of items (students) and r is the number of items chosen (4 positions).

Using this formula, we can calculate the number of ways as:

30P4 = 30!/(30-4)! = 30!/26! = 30*29*28*27 = 657,720 ways.

Answer 2

You could vote on it? There are as many ways as you can think of. It’s not set in stone.