Selecting from identical items.

There 4 Apples in a Basket ,5 Mangoes in another basket ,2 Kiwis in another basket in a fruit shop

consider each fruits in the basket are of same colour, shape , size and weight another way to say fruits of its kind in the baskets are identical

1)In how many ways I can select at least one fruit

5*6*3 = (90-1) 89 ways[ where 1 is non selection ]

2)In how many ways I can select so that one fruit is selected from each fruit basket

4*5*6 = 90 ways

Above all are bookish way to get answer, I failing to understand how did they came into these numbers

As per the rule for selecting identical items :-

There only one way to select identical for any number of selection

As per the above statement when there are 4 apples of same kind in a basket

The ways of selecting apples are

Case 1:-
Selecting 4 apples
Selecting 4 apples is one way
and not selecting 4 apples is another way, hence it is 2 ways.

Case 2 :-
Similarly selecting 3 apples
Selecting 3 apples is one way
and not selecting 3 apples is another way, hence it is 2 ways.

Similarly selecting 2 apples
Selecting 2 apples is one way
and not selecting 2 apples is another way, hence it is 2 ways.


Similarly selecting 1 apples
Selecting 1 apples is one way
and not 1 apple selecting is one way, hence it is 2 ways.

Hence the total ways is 2 to the Power 4 and it is 16 ways
which is same as of selecting 4 different numbered\Weighted Apple or distinct type of apples in the basket

Getting confused here, can somebody help?