Jenny has been given a list of 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?

Question

Jenny has been given a list of 6

 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? 

Answer 1

There are 6 possible choices for Jenny's favorite band(the first place band). Now there are only 5 bands left for her to choose as her second favorite band. For each of the 6 bands, there are 5 bands that can be selected with it.

So, we have a situation where order matters and we don't have replacement. Stated as a mathematical equation: 6*5=30.

There are 30 possible ways for Jenny to vote.

Answer 2

6 choices for first place

5 choices for second place

(6)(5) = ?