I have a use for a repeating n choose r function. I have not been able to find any information about whether this exists already. If it does, what is the correct notation I should use?
((nCr)Cr)Cr... for a total of m 'choose' operations
so 4 choose 2, 5 times =
((((4 choose 2) choose 2)choose 2) choose 2) choose 2=
6 C2 C2 C2 C2 =
15 C2 C2 C2 =
105 C2 C2 =
5460 C2 =
14903070
The rapid growth of the value is deliberate.