This question falls under the category of different things getting distributed to different people.

Given 3 different ice creams there are 2

^{3} of selection possible. This is because none of them can be selected(nC

_{0}), one of them selected(nC

_{1}) , two of them selected(nC

_{2}) and three of them selected(nC

_{3}). Here n =3, thus there are 2

^{3} possibilities.

As per the question at least one of them has to be selected. Therefore nC

_{0} selection has to be excluded, 2

^{3}-1.

Thus for all the items the final product becomes as , (2

^{3}-1)*(2

^{4}-1)*(2

^{2}-1) = 315.

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