 In this video we provide the solution to question number five for practice exam number four for math 10 30 In which case we have the following situation at the local ice cream stand a super Sunday Comes with three scoops of ice cream that man. That sounds good There are 20 different flavors of ice cream available if each scoop in the super Sunday is a different flavor Then how many different combinations are there? So when it comes to our super Sunday, it doesn't matter which order you scoop them because it's going to be inside of a bowl here And there's 20 different flavors and we can't pick the same flavor twice. This sounds like a combination We're looking for a combination and then specifically we're looking for 20 flavors choose three flavors So 20 choose three there. So we're going to get 20 times Well, we'll get 20 factorial on top We get three factorial and then 17 factorial on the bottom Canceling out the biggest factorial on the bottom with the top This is going to give you 20 times 19 times 18 and this sits on top of three times two times one Let's see three times two is six and that goes into 18 Exactly three times. So you end up with 20 times 19 Which is going to give you three hundred and eighty times three and if you times that by three you end up with 1140 so the correct answer within BC