n! -> n factorial
0! = 1
nPr -> n permutation r
nPn = n!
n ≥ r
nPr means the number of methods
to choose r different elements among n different elements
with order.
nCr -> n combination r
n ≥ r
nCr means the number of methods
to choose r different elements among n different elements
without order.
nCr means the number of methods
to choose r different elements among n different elements
without order.
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