22.0k views
5 votes
Lucy has been given a list of 5

bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?

2 Answers

6 votes

Answer:

So we have 5 bands. Lets called them A, B, C, D, and E.

If Lucy has to vote on her 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

So this is 20 different total voting combinations.

User Obsidian Age
by
9.3k points
6 votes
Well lucy must be a moron then because she that isn't possible 
User Hmuelner
by
8.5k points