List Commands Library for 50g

09012017, 04:00 AM
(This post was last modified: 09012017 04:01 AM by Joe Horn.)
Post: #106




RE: List Commands Library for 50g
(08312017 11:53 PM)DavidM Wrote: The number of combinations of n elements taken m at a time is mathematically defined as: \[C_{n,m} = \frac{n!}{m!\cdot(nm)!}\] Not possible, for two reasons: Reason 1: 999 995 COMB > 41251456251 (correct) in 0.042 seconds. But 999! alone takes 28.8 seconds. COMB can't be using factorials. Reason 2: 999. 995. COMB > 41251456251. (correct) But 999.! overflows. COMB can't be using factorials. My gut feeling is that COMB's speed and accuracy suggest that it's calculating COMB(999,995) in this order (straight through, left to right): 999/1*998/2*997/3*996/4. <0ΙΈ0> Joe 

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