✔ 最佳答案
Do you mean how many methods can 2 different people pair up, or how many methods the 200 people can be arranged?
If the question is asking how ma ny methods 2 people can pair up, then it's just choosing 2 from 200 people = 200C2 = 200*199 / 2 = 19900
if it's how many methods 200 people can be arranged, then the answer is very big:
You can view it this way:
You choose 2 from 200, then choose 2 from remaining 198... (and it goes on and on) then 2 from remanining 2.
Moreover, each groups you choose are non-distinguishable, so you should divide it by 100!
Hence number of methods
= (200C2 * 198C2 * ...*2C2) / 100!
= 200! / (50! * 2^100 )