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

She has ₆C₂ options to choose the 2 bands = 15

And then she has 2 ways to choose the two bands.... either first or second. So, she has

2 x 15 = 30 options.