A sundae at your local ice cream shop consists of 2 scoops of different flavors of the 41 flavors of ice cream and one topping chosen from caramel, hot fudge, and strawberry. How many different ice cream sundaes can be made?

Note that the order of the ice cream scoops does not matter.

A standard 5-player basketball team features 2 guards, 2 forwards, and a center. How many ways can the coach build a team from 10 players?

A standard 11-player soccer team features 2 forwards, 3 midfielders, 5 defenders, and one goalie. How many ways can the coach build a team from 12 players?

How many 4-letter sequences can we make from the letters "HIPPOPOTAMUS"?