00:01
For this problem, we are asked to use the formula for ncr to solve the exercise here, where we're told that to win at lotto in the state of florida, one must correctly select six numbers from a collection of 53.
00:19
We're told that the order in which the selection is made does not matter, and we're asked how many different selections are possible.
00:25
Well, the way that we can do this is that it would be 53, choose six, which is going to be equal to 53 factorial divided by six factorial times 53 minus 6 factorial.
00:43
Oops, times 53 minus 6 factorial.
00:49
So this would be equal to then 53 factorial divided by 6 factorial times 53 minus 6 would turn into 47, i believe.
00:59
I just want to make sure i don't say something stupid on screen here.
01:02
Okay, yes, that is 47 factorial.
01:07
Now what we can do is expanding out that 53 factorial in the numerator...