11, 830 possible hands with a spade. Oh and their are only 19,600 possible hands. Your number assumes that order is important, but in cards it isn't.
AAKJQ / JQAKA
These two hands are not treated as different combinations. So the total number of combinations is MUCH lower.
(I had to use some heavy math to solve this. HINT: It requires adding numbers called as Triangular Numbers. This is how you determine unique combinations.)
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