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Manipal MET2016MathematicsPermutation and Combination

A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is

Options

  1. A625
  2. B1024
  3. C624
  4. D1023

Correct answer

D. 1023

Step-by-step solution

Number of options on 1st ring =4 Number of options on 2nd ring =4 Number of options on 3rd ring =4 Number of options on 4rd ring =4 Number of options on 5rd ring =4 Total number of ways of all the options =4 4 4 4 4=1024 Number of all possible unsuccesful attempts to open the lock is =1024-1=1023

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