In how many attempts a 6 digit code can be guessed
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★ PERMUTATION ★
--> Digits --> { 0 , 1 , 2 , 3 , ... , 9 }
--> Since, we are not bound by any particular condition :->
--> 9 ways of Filling the first place √√
--> 9 ways of filling the second place √√
. . . and so on. till the 6th place √√
And hence, by the *Multiplication Principle* , we note :->
---> Number of attempts required to guess a 6 digit code = 9⁶ √√
--> Digits --> { 0 , 1 , 2 , 3 , ... , 9 }
--> Since, we are not bound by any particular condition :->
--> 9 ways of Filling the first place √√
--> 9 ways of filling the second place √√
. . . and so on. till the 6th place √√
And hence, by the *Multiplication Principle* , we note :->
---> Number of attempts required to guess a 6 digit code = 9⁶ √√
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