There are 10 different people. each person orders three donuts, chosen from five types of donuts. how many ways are there to do this such that: (i) at least one person chooses all 3 donuts of the first type, (ii) at least one person chooses all 3 donuts of the second type, . ., (v) at least one person chooses all 3 donuts of the fifth type? (note: two (or more) people may choose the same collection of two donuts.)