Show-that-for-n-N-r-0-n-P-r-n-n-e-where-x-denotes-the-greatest-integer-x-and-P-r-n-n-n-r-

Question Number 55099 by Joel578 last updated on 17/Feb/19

Show that for n \in N,

\underset{r = 0}{\sum^{n}} P_{r}^{n} = ⌊ n! e ⌋

where ⌊ x ⌋ denotes the greatest integer ⩽ x

and P_{r}^{n} = \frac{n!}{(n - r)!}

Answered by tm888 last updated on 18/Feb/19

Commented by Learner last updated on 18/Feb/19

p l e a s e h o w c a n i p o s t i m a g e a s q u e s t i o n / a n s w e r

Commented by Joel578 last updated on 22/Feb/19

Commented by Joel578 last updated on 22/Feb/19

t h e r e i s a n o p t i o n^{'} {m o r e}^{'} i n t o p - r i g h t c o r n e r

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