10! = 10*9*8*7*6*5*4*3*2*1 = (5*2)*(3*3)*(4*2)*7*(6*5*4*3*2*1) = (5*2*3*3*4*2*7)*(6!) = (5*6*3*4*2*7)*6! = (7*6*5*4*3*2*1)*6! = 7!*6! Neat! (not a factorial, just excitement)pic.twitter.com/LhWrwvElvK
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10! = 10*9*8*7*6*5*4*3*2*1 = (5*2)*(3*3)*(4*2)*7*(6*5*4*3*2*1) = (5*2*3*3*4*2*7)*(6!) = (5*6*3*4*2*7)*6! = (7*6*5*4*3*2*1)*6! = 7!*6! Neat! (not a factorial, just excitement)pic.twitter.com/LhWrwvElvK
Other curiosities involving factorials: • 10! = 6! · 7! = 1! · 3! · 5! · 7!. • √(7! + 1) = 71. • 1! + 4! + 5! = 145.
@wandrest liked the most.
(8, 4, 2, 1) = (4, 2, 1, 0) + (4, 2, 1, 1) (ノ゚0゚)ノ~
it's genuinely crazy that 2*3*4*5*6 = 8*9*10 it feels like a huge coincidence
that’s because 10•9•8•7 = 7!
or 10•9•8•7 = 7•6•5•4•3•2•1
What about 6! = 5! * 3! ?
that's the general pattern mentioned (n!)!=n!.(n!-1)!, for n=3
Yes! That’s right! This equation was first anticipated by Niles Bortles! (1816-1905!) who rarely got excited over anything while farming in the East Midlands! But he discovered that by adding ! to the £ price of every load of sheep delivered, he received an extra tip! Cool, huh!
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