gmat7202011 wrote:In how many ways can 4 rings be worn on 3 fingers (index finger, middle finger and ring finger), if there is no restriction on the number of rings worn on a finger ?
Thank You
Anurag@Gurome wrote:Each ring cannot be worn in 3 ways, but in only 1 way.srcc25anu wrote:should it not be 3^4 = 81 ways
each ring can be worn in 3 ways. so 4 rings can be worn in 3*3*3*3 = 81 ways
This is because 1 ring cannot go to more than 1 finger.
But, 1 finger can hold more than 1 ring.
So, a finger can be repeated in 4 ways.
Remember, that which can be repeated goes as the power!
gmat7202011 wrote:In how many ways can 4 rings be worn on 3 fingers (index finger, middle finger and ring finger), if there is no restriction on the number of rings worn on a finger ?
Thank You
I thought that it will be 4_ * _3 * _2Night reader wrote:Is this just 4*4*4 --> total 64 ways?gmat7202011 wrote:In how many ways can 4 rings be worn on 3 fingers (index finger, middle finger and ring finger), if there is no restriction on the number of rings worn on a finger ?
Thank You
Perfect kevincanspain !kevincanspain wrote:If identical we have several cases:
4 on one finger- - - - choose one of 3 fingers = 3
3 on one finger, 1 on another---- choose one of 3 fingers to hold 3, another to hold 1 = 6
2 +1 +1- choose one of three fingers to hold 2, the others hold one each = 3
2 + 2 - choose finger to hold none, the others hold two each= 3
Thus 15
If distinct, each of the 4 rings can go on any of the three fingers = 3^4 = 81
