Efficient Sum Evaluation: Tips for Solving 100 P i Permutations

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The discussion centers on evaluating the sum of permutations, specifically 100 P i, where i ranges from 1 to 100. Participants clarify that 100 P i represents the number of permutations of i objects selected from 100, calculated as 100!/(100-i)!. There is confusion regarding the attachment that was mentioned but not visible. The main question is about finding an explicit way to calculate the sum for arbitrary n. The conversation concludes with a confirmation that the correct summation notation is indeed ∑_{i=0}^n 100 P i.
JasonJo
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i need help evaluating this sum:

(that is 100 P i, or the permutation)
 
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What does "100 P i" mean with i going from 1 to 100? Is P a constant?
 
I can't see your attatchment. Does 100 P i mean the number of permuations of i objects selected from 100? namely, 100 P i= 100!/(100-i)!

What's being summed?
 
shmoe said:
I can't see your attatchment. Does 100 P i mean the number of permuations of i objects selected from 100? namely, 100 P i= 100!/(100-i)!

What's being summed?

yeah I'm sorry if it came out bad, but yeah it's the permutation
 
So what's being summed then?
 
I'm going to take a stab in the dark and guess you mean

\sum_{i=0}^n{}_{100}P_i

Am I close?
 
yeap, that's exactly it. is there any explicit way to calculate the sum for arbitrary n?
 

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