AP EAMCET202021 Sep 2020Evening ShiftMathematicsPermutation and CombinationActual
A number lock has 3 rings and each ring has 8 digits. Total number of different ways in which 3 rings can be rotated is
Options
- A(3^8 )
- B(8^3 )
- C(3 8 )
- D( ^8 P₃ )
Correct answer
B. (8^3 )
Step-by-step solution
Since, it is given that a lock has 3 rings and each ring has 8 digits, so each ring can be rotated in 8 ways, therefore total number of different ways in which 3 rings can be rotated is (8 8 8=8^3 ). Hence, option (b) is correct.