In a fruit basket 5 mangoes, 6 banana & 4 Lemons are kept. In how many ways one can select fruits from this fruit basket such that at least one fruit of each type is always selected

(Q). In a fruit basket 5 mangoes, 6 banana & 4 Lemons are kept. In how many ways one can select fruits from this fruit basket such that at least one fruit of each type is always selected?
Solution:-
mangoes can be selected in 5 ways ( either 1 or 2 or 3 or 4 or 5 mangoes)
Similarly, bananas & Lemons can be selected in 6 & 4 ways.
So total number of ways = 5×6×4
                                             = 120 ways          Answer