Reference no: EM131584943

Question: 1. How many positive integer solutions are there to the equation y₁ + y₂ + y₃+ y₄ + y₅ + y₆ = 13?

2. Let's count banana splits. These are ice-cream treats that have three scoops of ice cream (two or three of the scoops could be the same flavor), three toppings (two or three of the toppings could be the same flavor), whipped cream (always), a choice of nuts or no nuts, and a choice of a cherry or no cherry, all placed atop two banana halves. If there are 18 different flavors of ice cream and 5 choices of toppings, how many different banana split orders are possible? Note that people do care which toppings end up on which scoops, so the positions of the scoops should be labeled.