Are you working in binary or generally?
for distinguishable cells.
Are you looking for something beyond that?
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.
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...
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
hence the situation of arranging n from m can be formulated from the M and N using