   SEARCH HOME Math Central Quandaries & Queries  Question from Margaret: I need the list/group for a raffle that would contain the combinations for a 3 digit (000-999) daily number. There would be 100 tickets sold with 10 3-digit numbers from each numerical group beginning from 000's, 100's 200's, 300's,...900's. No duplicates/replacement. What would be the list of possible combinations of each group of 100 tickets, keeping each different group/list of combinations in separate blocks of 100 tickets without duplication. So I could use 1 list of 100 this year and the next list of combos next year and so forth. Please help! Example: 000,197,245,367,445,569,618,777,842,964 What would be the possible lists of each 100 tickets? Thank you Hi Margaret,

As I understand it each ticket will contain 10, 3-digit numbers, so your example of 000,197,245,367,445,569,618,777,842,964 is one ticket. If this is correct then you have 100 choices for the first 3-digit number on the ticket, the numbers from 000 to 099. Once you have decided on the first 3-digit number you have 100 choices for the second 3-digit number, the numbers from 100 to 199 and so on. Thus in total you have

$100 \times 100 \times 100 \times 100 \times 100 \times 100 \times 100 \times 100 \times 100 \times 100$

possible tickets. That's $100,000,000,000,000,000,000$ tickets. Way too many to list!

Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.