Question-148284

Question Number 148284 by 0731619 last updated on 26/Jul/21

Answered by Olaf_Thorendsen last updated on 26/Jul/21

6!! = 6 \times 4 \times 2 = 48

8!!!!! = 8 \times 3 = 24

9!!!! = 9 \times 5 \times 1 = 45

! 4 = 4! (\frac{1}{0!} - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!}) = 9

! 5 = 5! (\frac{1}{0!} - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!} - + \frac{1}{4!} - \frac{1}{5!}) = 44

x =! 5 \times \frac{\sqrt{! 4 + 8!!!!! + 6!! - 16}}{9!!!!}

x = 44 \times \frac{\sqrt{9 + 24 + 48 - 16}}{45} = \frac{44}{9} \sqrt{\frac{13}{5}}

Commented by Sozan last updated on 26/Jul/21

m s r o l a f c a n y o u g i v e m e n a m e b o o k

c o n t a i n d t h i s f a c t o r i a l

Commented by Olaf_Thorendsen last updated on 26/Jul/21

Unfortunately not sir .

I am not a mathematician .

I use my phone, google and wikipedia .