8 students are competing for first, second, third and fourth violin chair in the school’s orchestra. How many different ways can all 4 chairs be filled?

1,680

Step-by-step explanation:

There are 8 students to choose for the first chair. After we choose one, we have 7 students to choose from for the second chair, 6 for the third chair, etc.

8 * 7 * 6 * 5 = 1680 (ans)

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x