system
Given the following post, respond as if you're commenting on Reddit:
human
A Christmas list probability question: if I have people buying gifts for me off a 50 item list, what is the probability that I receive no duplicate items?

More specifically, let's consider this: there are 3 people selecting 10 items each from a 50 item list without consulting each other. Ie, imagine sending your list to 3 people that have no contact with each other and they each buy 10 items from it. What is the probability that none of them buy the same item from the list?
gpt
If you're assuming that none of the people are buying duplicates with their 10 purchases (seems like a reasonable assumption, why would the same person get you multiple copies of the same thing?), this would be 

> (50C10)\*(40C10)\*(30C10) / (50C10)^(3) &asymp; 0.0241%