There are 5 holes on a wall and a total of 17 pigeons have to be kept in them. Which of the following options(choices) are correct and can be the best suitable arrangement?
a) Every filled/occupied hole has a minimum of 3 pigeons
b) Every filled /occupied hole has at least 2 pigeons but not
more than 4 pigeons
c) Every filled/occupied hole has not less than 2 pigeons
d) All of the above
e) The filled/occupied holes have not less than 4 pigeons
The answer key says it's the second option (b) but I really cant wrap my head around why the first option (a) is wrong