In my country we have a special lottery
There are 45 numbers and you can choose as many as you like in order to get right the 5 winning numbers.
For example you can choose 10 out of the 45 numbers asking to get right the 5 winning numbers - this means that the choosen numbers will use if n=10 (n*n-1*n-2*n-3*n-4)/5*4*3*2*1 = 252 columns
My questions are
1) if i finally get the 5 winning numbers right so this mean I will get 1 first category win (5 numbers) but how many wins will I have of the second category (4 numbers), how many of the third category (3 numbers), how many of the forth category (2 numbers) and how many of the fifth category (1 number).
2) if i finally get the 4 out of 5 winning numbers right so this means that I will get at least 1 second category win (4 numbers), how many second category wins will i have, how many wins will i have of the third category (3 numbers), how many of the forth category (2 numbers) and how many of the fifth category (1 number).
3) if i finally get the 3 out of 5 winning numbers right so this means that I will get at least 1 third category win (3 numbers), how many third category wins will i have, how many wins will i have of the third category (3 numbers), how many of the forth category (2 numbers) and how many of the fifth category (1 number).
and so on
Anyone knows the math type that will help me answer my questions?