Question

Determine how many different computer passwords are possible if (a) the digits and letters can be...

Determine how many different computer passwords are possible if (a) the digits and letters can be repeated, and (b) if the digits and letters cannot be repeated.

i. 4 digits followed by 2 letters

ii. 5 digits followed by 1 letter.

iii. 3 digits followed by 3 letters

Homework Answers

Answer #1

Answer)

1)

4 digits followed by 2 letters

When the digits and letters can be repeated

10*10*10*10*26*26

{As there are 10 digits (0-9) and 26 letters)

= 6760000

When the digits and letters cannot be repeated

10*9*8*7*26*25

= 3276000

2)

5 digits followed by one letter

When repeated

10*10*10*10*10*26 = 2600000

When not repeated

10*9*8*7*6*26 = 786240

3)

3 digits followed by 3 letters

When repeated

10*10*10*26*26*26 = 17576000

When not repeated

10*9*8*26*25*24

= 11232000

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