Out of $N$ things, $A$ things of one type are similar, $B$ things of another type are similar and remaining all things are different. In how many ways can these total $N$ things be permuted ?
Rutva wishes to go to Mumbai from Gandhinagar. There are $4$ different roads to travel from Gandhinagar to Mumbai. She wishes to come back by a road other than the one used for going. In how many ways can she travel ?