EDIT
My question was badly asked. Therefore I re-edited it in order to make it hopefully more useful for others. It has an answer already.
sample data.frame:
set.seed(10) 
df <- data.frame(a = sample(1:3, 30, rep=T), b = sample(1:3, 30,  rep = T), c = sample(1:3, 30, rep = T))
My question:
I have several columns (in my example a,b,c). Now, slightly similar, but different to this question asked by R-user, I would like to count the possible 'value sets' of in this case three columns (but in general: n columns), irrespective of their order. 
count(df,a,b,c) from dplyr does not help:
require (dplyr)
count(df,a,b,c)
    # A tibble: 17 x 4
           a     b     c     n
       <int> <int> <int> <int>
     1     1     1     1     1
     2     1     1     2     2
     ...
     7     2     1     1     4
     ...
In this example, row 2 and 7 contain the same set of values (1,1,2), and that's not what I want, because I do not care about the order of the values within the set, so '1,1,2' and '2,1,1' should be considered the same. How to count those value sets?
EDIT 2 
The neat trick of @Mouad_S 's answer is that you first order the rows with apply()  and then transpose the result (t()) and then you can use count on the columns.)
 
    