Question

# In how many ways can six different rings be wear in four fingers?

^{6}P_{4}
- 6
^{4}
- 4
^{6}
^{6}C_{4}

^{6}P_{4}^{4}^{6}^{6}C_{4}Hint:

### We will first start by finding the way in which one ring can be worn in 4 fingers. Then we will do the same for 6 rings and then using the fundamental principle of counting we will find the total ways.

## The correct answer is: 4^{6}

### Detailed Solution

Now, we have been given that there are 6 rings of different types and we have to find the ways in which they can be worn in 4 fingers.

Now, we know that the number of options each ring has is 4, that is each ring has 4 fingers as their possible way as it can be worn in any one of 4 fingers.

Now, similarly the other rings will have four options as it has not been mentioned in the options that there has to be at least a ring in a finger. So, each ring has four options i.e. four fingers.

Now, we know that by the fundamental principle of counting there can be ways of wearing 6 rings.

It is important to note that we have used a basic fundamental principle of counting to find the total ways. Also, it is important to notice that each ring has 4 ways as it has not been given that each finger must have at least one ring. So, there can be 6 rings in a finger alone and remaining all the fingers empty.

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