The order in which the bands perform is important. Also, each band can perform only once.
24
Practice makes perfect
We want to determine in how many ways can the four bands perform. Each of the 4 bands plays only once and the order in which they play is important. There are 4 choices for the first band.
First Band
Second Band
Third Band
Fourth Band
4
We have 4-1= 3 choices for the second band once the first band is chosen.
First Band
Second Band
Third Band
Fourth Band
4
3
Similarly, we have 4-2= 2 choices for the third band and 4-3= 1 choices for the last band.
First Band
Second Band
Third Band
Fourth Band
4
3
2
1
Now, we will use the Fundamental Counting Principle to find the answer. In this case, the number of ways all bands can be arranged is the product of these numbers.
4* 3* 2 * 1
Now, let's calculate this product.
4*3*2*1 = 24
There are 24 ways in which the bands can perform.
