Show that for n ∈ N, Σ_(r=0) ^n P_r ^n = ⌊n! e⌋ where ⌊x⌋ denotes the greatest integer ≤ x and P


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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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