shobhit wrote:

I am really finding some trouble in solving a particular permutation problem:-

In how many ways can 4 rings be worn in 3 fingures ?

I have checked the anwers and it says 3^4 since each ring can be worn by 3 ways and there are 4 rings !

But my answers are still very complicated and i even manually tried to calculate the number of ways and they were way beyound 3^4

For Eg:-If we simplify the above problem and say In how many ways can 2 rings be worn in 3 fingures ?

then answer should be 3^2

but see below my results where the answer is comming out to be 12 and since it is a case of permutation i believe the order in which the rings are worn should be given importance too.

Let r1 and r2 be the two rings:-

{r1,r2,0} {r1,0,r2} {(r1r2),0,0} {(r2r1),0,0} {r2,r1,0} {0,(r2r1),0} {0,(r1r2),0}{0,r1,r2}{r2,0,r1}{0,r2,r1} {0,0,(r1r2)} {0,0,(r2r1)}

Thanks in advance.

Any help in this matter will really be useful.

Can you tell the difference between the rings? If not, then there is absolutely no way there are more than

.