Question
In how many ways can six different rings be wear in four fingers?
- 6P4
- 64
- 46
- 6C4
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: 46
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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