But it does nothing for the odds. (I assume the following will be confusing for some, but I will show the example anyway).
Scenario 1:
Suppose there are 10 people, and each get one number (1-10). First one who get's their number pulled from your random number generator wins. Odds being 1 in 10 chance.
Scenario 2:
Suppose there are 10 people, and each get 3 numbers (between 1-30). Whoever gets all three of their numbers pulled from the number generator wins. Odds still being 1 in 10 chance.
Even if you say the first person who gets one of their three numbers pulled, it's the same amount of chances/odds.
Just don't see the point in it. Just more work for you in keeping track with what numbers are pulled in comparison to what each member has for numbers.
And before the suggestion occurs, I would say it's a bad idea/suggestion to have members double up on their posts at risk for better chances (risking 10 posts for 2 numbers) just cause I can see that getting real outta hand here just cause of member personalities

Just keep it one per person that wants to participate, and not cause the stupidity that will ensue.