In: Advanced Math
Lon Lee has a collection of twenty photos of friends and family that he keeps to cheer himself
up. Each of the following questions refer to this collection.
Lon wants to hang 8 of his 20 photos in a line on the wall above his desk. How many ways can he do this?
How many ways can Lon mount 4 of his 20 photos in a picture frame (2 rows with 2 pictures each).
Lon wants to select 9 photos of his 20 to take on a trip. How many ways can he do this?
Lon has decided to give his photo collection to his three children. In how many ways can he
partition his photo collection among this three children?
Lon also has 500 dollars he wants to give his three children. In how many ways can he devide it among his three children. Let’s assume that it is OK that a child does not get any money.