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Question
suppose a company needs temporary passwords for the trial of a new time management software. each password will have two letters followed by two digits. the digits 7, 8, and 9 will not be used. so, there are 26 letters and 7 digits that will be used. assume that the letters and digits can be repeated. how many passwords can be created using this format? passwords
Step1: Calculate letter combinations
Since letters can repeat, for 2 letter positions with 26 options each:
$26 \times 26 = 676$
Step2: Calculate digit combinations
Digits can repeat, 7 options for 2 digit positions:
$7 \times 7 = 49$
Step3: Total password combinations
Multiply letter and digit combinations:
$676 \times 49$
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