Question

Justin has been giving a list of 5 bands and asked to place a vote. his vote must have the names of his favorite, second favorite, and third favorite bands from the list. how many different votes are possible?​

Answer 1

20 different total voting combinations.

Explanation:

so lets called them A, B, C, D, and E

If John has to vote on his favorite and second favorite that means we will be selecting 2 bands out of the 5 possible to choose from.

To find the TOTAL amount of different combinations we need to pair up bands and find all the combo's.

Here are the results/totals:

AB

AC

AD

AE

BA

BC

BD

BE

CA

CB

CD

CE

DA

DB

DC

DE

EA

EB

EC

ED

If you want to do it simpler without listing you can take the the 5 bands and multiple by 4 since you know each initial band (A, B, C, D, and E) will be paired with another band other than itself.