SOLUTION: A certain website allows for eight characters for its password. The first character has to be a letter and the last character has to be a number. However, the middle six character

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Question 1174677: A certain website allows for eight characters for its password. The first character has to be a letter and the last character has to be a number. However, the middle six characters can be letters and numbers. How many different passwords can this system allow? NOTE: Upper and Lower case letters matter.
Answer by math_helper(2461) About Me  (Show Source):
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A certain website allows for eight characters for its password. The first character has to be a letter and the last character has to be a cross%28number%29+green%28digit%29. However, the middle six characters can be letters and cross%28numbers%29+green%28+digits%29. How many different passwords can this system allow? NOTE: Upper and Lower case letters matter. 


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There are 52 letters (A..Z and a..z) and 10 digits (0..9)



Number of passwords = +52+%2A+%2810%2B52%29%5E6+%2A+10 = 29,536,122,503,680  ("29 trillion, 536 billion, 122 million, 503 thousand, six hundred and eighty")