Hi Bacterius,
Are you working in binary or generally?
for distinguishable cells.
Are you looking for something beyond that?
Hello,
I have a question
I have been trying to investigate the formula that gives the number of possible arrangements of elements in cells. But I just can't get this formula. I've been thinking a lot and I think it involves factorials but this is just confusing me since two different arrangements could be equivalent given other formulas
For example, if I have three cells ( ), I can arrange two elements ( ) in three different combinations.
Can anyone help me out on this formula (it's obviously very simple as I cannot find it ...) ? Thanks all
PS : I have to apply the formula to and next. Seems like I'm going to have to count decimal digits lol.
Hi Bacterius,
the "permutations" or arrangements formula will do that
Arrange all N cells.... N!
Arrange N cells from a total of M cells
This formula is just a "tweaking" of the actual situation.
For example, arrange 9 distinguishable cells in all orders...
9(8)7)6(5)4(3)2=9!
arrange only 4 of the 9...
9(8)7(6) just happens to be the same as 9! with the 5! missing
and the 5! can be dispensed with by dividing 9! by 5!
5 is the difference between 9 and 4
so,
hence the situation of arranging n from m can be formulated from the M and N using