How Many Combinations In 6/49 Lotto?

There are 13,983,816 possible combinations

You work it out as follows, it's a bit complicated to bare with me!!

The first number you have 6 chances out of 49 balls
so the chance of getting that is 6/49

assuming you get the first, you odds for you second number your odds are 5/48, as you have one of your choices missing, but all so a ball is missing from the original 49 - and this continues so if you get the first 2 your next odds for the next ball are 4/47

so to work it out you need:

6/49 x 5/48 x 4/47 x 3/46 x 2/45 x 1/44

the easiest way to work this out is to do 49 * 48 *47 * 46 * 45 * 44 (10,068,347,520) and then divide this by 6 * 5 * 4 * 3 * 2 * 1 (720) and this gives your end result

So on a roll over, yes you probably could buy every possible ticket, depending on how much you win.

1

If this is picking 6 numbers from 49 options, then the answer is 10,068,347,520 combinations