Not the Perlish way, but let's look at it mathemagically:
If you have
n Numbers and 6 are drawn, there will be (
n-6), which are not drawn. Let's say all seven number are drawn, but just the first 6 count. There are
n! possibilities to draw all the numbers, but the first six numbers can appear in 6! different ways and the other numbers in (
n-6)! different ways. Thus, you have
n! / ( 6! * (
n - 6 )! ). This is the
binomial coefficient C(n, 6). (In the above explanation
n! is the
factorial of
n, where
n! =
n * (
n - 1)! * ... * 2 * 1).
Now C(6, 6) = 1; C(7, 6) = 7; C(8, 6) = 28; C(9, 6) = 84
Hope this helped.
CombatSquirrel.
Update: This is exactly
Anonymous Monk's
program above :).
Entropy is the tendency of everything going to hell.