Pigeon Hole Principle

There are n+1 pigeons and there are n holes so we can club n+1 pigeons in n holes where each hole will contain atleast 2 pigeons, also we can take other examples to make this true

Each hole will not contain atleast 2 pigeons. Atleast one hole will contain 2 pigeons.

If we allot each pigeon hole to 1 pigeon, then only one pigeon will be left as we have n+1 pigeons. So that pigeon can go to any hole. And atleast one pigeon hole will have 2 pigeons.