> anyone else has interesting solutions
Yes! go to mine tartaglia triangle repository, download the program, run it, choose the combinations experiment and feed 10 4 and you'll see coulored solutions in the triangle and the following output:
*** Combinations of 4 items in a group of 10 There are 210 (red tile position 10 - 4) different combinations (whe +n the order does not matter) of 4 items in a group of 10. There are 715 (green tile) different combinations with repetitions o +f 4 items in group of 10.
More informations are provided upon request:
This is called combination (or k-combination) in mathematic, id est no + matter of the order of the elements and no repetition of elements. The formula is the binomial coefiicent one. n! C(n,k) = ---------- k!(n-k)!
PS The following ugly oneliner to print all 5040 permutations
perl -E "say @$_ for grep{$$_[0]!=$$_[1] and $$_[0]!=$$_[2] and $$_[0] +!=$$_[3] and $$_[1]!=$$_[2] and $$_[1]!=$$_[3] and $$_[2]!=$$_[3]} map { [split '',sprintf '%04s' +,$_]} 0..9999;"
PPS cannabalizing the below elegant solution by johngg I got a better solution:
perl -e "print qq($_ ) for grep { ! m{(.).*\1} }map{sprintf '%04s',$_}0..9999"
L*
In reply to Re: list of four digit lock combinations without repeated digits -- tartaglia
by Discipulus
in thread list of four digit lock combinations without repeated digits
by Lotus1
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