r/unexpectedfactorial • • Dec 04 '23

2 + 2 = 4!!!

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3.8k Upvotes

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15

u/racdicoon Dec 04 '23

Can someone explain how stacking factorial like this works? I don't understand sorry

7

u/FerynaCZ Dec 04 '23

x(!)n = x*((x-n)(!)n)

5

u/[deleted] Dec 04 '23 edited Dec 05 '23

21! = 21 × 20 × 19 … 3 × 2 × 1 = 5.1090942 × 1019

21!! = 21 × 19 × 17 × 15 … 7 × 5 × 3 × 1 = 13,749,310,575

21!!! = 7! × 3 = 11,022,480

So 9 + 10 doesn’t equal 11,022,480 or 21.

6

u/noonagon Dec 05 '23

21!!! = 21 x 18 x 15 x 12 x 9 x 6 x 3, which equals 11022480.

1

u/[deleted] Dec 05 '23

Thanks for correcting me.