How many distinct poker hands (i.e., combinations of size 5) can be selected from a standard deck of 52 playing cards? (In making the computation, you might want to do the appropriate numerator and denominator “cancellations” so you can avoid having to compute 52!. For example, 52!/47! × 52 × 51 × 50 × 49 × 48 = 311,875,200.)
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