If n e N with n >= 2 . A running competition takes place witn n numbered runners.
With (number of possible results)=PR.
a)How many running results are there?
b)In how many results does the runner with the number 1, has the first place before the runner with the number 2?
(In other words: How many possibilities (of results) are there,when the runner1 has the first place and is followed by the runner2 on the second place.)
c)When is the number of possible results in the two following cases equal?
i)the runner with number 1 wins.
ii) the runners with number 1 and 2 share the first two places.
a) I have n! = PR.
b) I have n!/(n-1)! = PR.
c) n!/(n-1)!X = n!/(n-1)!*2! ...
I am not sure about my results.
Are these results true?If not, please correct me.