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    Maths-
    General
    Easy

    Question

    The number of ways that '6' rings can be worn on the 4 - fingers of one hand is

    1. 4096    
    2. 6 to the power of 4 end exponent    
    3. blank to the power of 6 P subscript 4
    4. 6!    

    hintHint:

    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: 4096

       Complete step-by-step answer:
      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.
      N o w comma space w e space k n o w space t h a t space b y space t h e space f u n d a m e n t a l space p r i n c i p l e space o f space c o u n t i n g space t h e r e space c a n space b e space 4 cross times 4 cross times 4 cross times 4 cross times 4 cross times 4 space w a y s space o f space w e a r i n g space 6 space r i n g s S o comma space w e space h a v e space 4 to the power of 6 space equals space 4096 space w a y s space t o space w e a r space 6 space t y p e s space o f space r i n g s.

       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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