You don't need to enumerate all the possibilities in that. Just look at the number of base pairs in the human genome and calculate the number of variations; that will include all those of you and Cleopatra and so on.
There are about 3 billion base pairs in the human genome. If you simply work out the number of possible variations of the 4 possible values for each base pair, ignoring the fact that the majority would not produce a viable life-form, let alone a human, but which will include all the possible theoretical results of the coupling you seem obsessed with, you get a very (very) large number. It. Is. Not. Infiniite.
Well, trivially, that is 4
3,000,000,000 (not infinity). But worse again, a rather large subset of that number will be non-viable. I don't know how large that subset is, not being a geneticist, but no matter how you slice it, it is not infinity, even if one includes the non-viable possibilities.
No amount of equivocation over, say my sperm and Cleopatra's ovum will magically turn the number into infinity by dint of wishful thinking. 4
3,000,000,000 is a finite number which includes all possibilities of everyone who ever has existed or will exist or never existed at all. There simply are no other combinations outside of that limiting number.
ETA: The figure of 4
3,000,000,000 assumes that all possible combinations are potentially available, but they are not. There have only been 120,000,000,000 humans over the course of human history, thus further limiting the possible results when added to the non-viable possibilities. It is almost certain that Jabba will ignore this.
I already asked Jabba about the parent problem. Jabba has two parents, who in turn had two parents(his grand parents x4) each, who in turn had two parents (his great-grandparents x8) parents and so on. Taking a 30 year generation, by the time one works back to the time of the Romans, Jabba alone has 147,573,952,589,676,412,928 ancestors. And that applies to everyone on the planet, all 7,000,000,000 of us. Thus the total number of ancestors required is 147,573,952,589,676,412,928 x 7,000,000,000 or 1,033,017,668,127,734,890,496,000,000,000. Given that only 120 bn humans have ever existed through all time, how is this possible? Needless to say, Jabba promised faithfully that he would be back to me and never did.