<human>: Condense the text into a few key points

So, a couple years ago my friend created what he calls the "In 'n Out Challenge". The challenge is to get one of every order number (1-100). He's up to about 50 unique numbers right now. While we were enjoying our Double-Double's today, we wondered: How many times would you have to come to In 'n Out to, statistically, get every number possible. After a few minutes, we realized that finding the answer would prove to be a much more daunting task than we first imagined. After a few hours, we finally gave up, so I decided to turn to Reddit! First correct answer wins a free burger!
<bot>: How many times would you have to randomly select a number (1-100) before having selected all the unique whole numbers between 1 and 100 at least once?