Question 943951: a computer password must be 5 characters long. the first character must be a capital letter. the second character must be a digit from 0 through 9, inclusive. the third character must be one of eight specified symbols. each of the fourth and fifth character can be any combination of capital or lowercase letters, digits or symbols. where the symbols are from the 8 specified symbols. how many different passwords can be made using these rules?
possible ans:
(A) 1,274,000
(B) 2,548,000
(C) 5,096,000
(D) 10,192,000
(E) 40,768,000
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! `
a computer password must be 5 characters long.
the first character must be a capital letter.
Choose the capital letter 26 ways.
the second character must be a digit from 0 through 9, inclusive.
Choose the 2nd character 10 ways.
the third character must be one of eight specified symbols.
Choose the 3rd character 8 ways.
each of the fourth and fifth character can be any combination of capital or
lowercase letters, digits or symbols, where the symbols are from the 8 specified
symbols.
26 capital letters + 26 lower case letters + 10 digits + 8 symbols = 70
characters.
Choose the 4th character any of 70 ways.
Choose the 5th character also any of 70 ways.
how many different passwords can be made using these rules?
Number oif passwords = 26*10*8*70*70 = 10192000, choice (D)
Edwin
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