Should the sons or kids continue the family business? what if not?

suppose if the parents (usually father) have already built & run a quite successful business. now should any of the sons (or kids) continue the family business?
But what if all the sons are not interested in continuing the business, ie: perhaps the sons/kids have different interests, or goals, or dreams/ambition each of their own, different from the father’s interest/goal?
Then, to whom or where should the family business go?
in other words, HOW to solve the case when nobody in the family want or interested in continuing the family business?
what should the father (or parents) do, if that’s the case?
is there always a way out of this “family” predicament, without hurting the family relationship?