A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616
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23
This is an interesting question which can be cracked by basic knowledge of permutations and combinations.
Given that the password is a mixture of alphabet(say Á') and special characters (say 'S'). Also, as letters can be repeated and the special character is always at end, the maximum possible passwords possible are-
Password:- _ _ _ _
Combination required:- A A A S
Maximum possible combinations: 26 26 26 10
So the maximum possibilities would be a multiple of max possibilities for each space. Hence,
26*26*26*10 = 175760
Ans:- 175,760 is the total number of possible combinations.
Given that the password is a mixture of alphabet(say Á') and special characters (say 'S'). Also, as letters can be repeated and the special character is always at end, the maximum possible passwords possible are-
Password:- _ _ _ _
Combination required:- A A A S
Maximum possible combinations: 26 26 26 10
So the maximum possibilities would be a multiple of max possibilities for each space. Hence,
26*26*26*10 = 175760
Ans:- 175,760 is the total number of possible combinations.
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7
Answer:
A
Step-by-step explanation:
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