whats-the-value-of-5-

Question Number 157329 by MathsFan last updated on 22/Oct/21

w h a t s t h e v a l u e o f

! 5

Answered by puissant last updated on 24/Oct/21

! 5 = 5! (\frac{1}{0!} - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!} - \frac{1}{120}) = 5! (\frac{1}{2} - \frac{1}{6} + \frac{1}{24} - \frac{1}{120})

= 5! (\frac{60}{120} - \frac{20}{120} + \frac{5}{120} - \frac{1}{120}) = 120 \times \frac{44}{120} = 44 . .

Commented by MathsFan last updated on 22/Oct/21

t h a n k y o u s i r

c a n t h i s a l s o b e t h e a n s w e r (\frac{5!}{e}) = 44.146

Commented by puissant last updated on 22/Oct/21

y e s s s (\frac{5!}{e}) = (\frac{120}{e}) = 44, 14

Commented by puissant last updated on 22/Oct/21

Commented by MathsFan last updated on 22/Oct/21

t h a n k y o u s e n i o r

Commented by puissant last updated on 22/Oct/21

D e r i e n . .

Commented by MathsFan last updated on 22/Oct/21

m e r c i b e a u c o u p

Answered by soumyasaha last updated on 22/Oct/21

= Subfactorial 5 [No . of derangement]

= ⌊ \frac{5!}{e} + \frac{1}{2} ⌋

= ⌊ 44.146 + 0.5 ⌋

= ⌊ 44.646 ⌋

= 44

Commented by MathsFan last updated on 22/Oct/21

t h a n k y o u s i r

b u t d o e s t h a t m e a n t h e q u e s t i o n h a s

n o u n i q u e s o l u t i o n p l e a s e ?

Commented by mr W last updated on 23/Oct/21

t h e r e i s u n i q u e s o l u t i o n!

! 5 = 44

Commented by mr W last updated on 23/Oct/21

Commented by MathsFan last updated on 25/Oct/21

t h a n k s v e r y m u c h