A ridiculous Maths question?

2010-02-13 6:52 am
I am trying to calculate the number of people needed for the birth of myself.
The calculation is simple, I have parents, so that's 2
and parents have their parents, so thats 2 to the power of 2
and etc.

Recent Human civilisation has like 80 generations, so wouldn't this make the answer equal to
2^80 + 2^79 + ... + 2^1

But 2^80 is already 1208925819614629174706176, let alone the rest of the addition. This number is already ridiculously huge, probably more than the sum of all the population ever born on the planet.
Is my calculation wrong? Or is it just that there are in fact SO MANY PEOPLE born in the history?
And this number is only for my case, I haven't even counted for the rest of the popluation and their number of ancestors.

How is this possible? Can someone explain what's going on.

回答 (3)

2010-02-13 7:17 am
✔ 最佳答案
If you go back enough generations, you're going to find people who appear more than once in your tree of ancestors. For example, your mother's mother's mother's mother's mother's mother and your father's father's father's father's father's mother may be the same person. The farther you go back, the more people you will find appearing in your tree two (or more) times. You and I (or any two people) never have totally separate sets of ancestors; we are all cousins, although perhaps very, very distant ones, but it has always been this way and the cumulative effect is that the number of different people who are your ancestors is much smaller than the number that you calculated.
2010-02-13 3:05 pm
2010-02-13 3:05 pm
Your basic assumption is only one child was born from each family for 80 generations. But in reality, it is not true.


收錄日期: 2021-05-01 13:00:15
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100212225202AAxwdoV

檢視 Wayback Machine 備份