SOLUTION: brad's password must be five digits long, use the number 0-9 and the digits must not repeat. What is the maximum number of different passwords brad can have

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Question 938998: brad's password must be five digits long, use the number 0-9 and the digits must not repeat. What is the maximum number of different passwords brad can have
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
password is 5 digits long
first digit can filled with any of 10 digits ( 0-9 = 10 digits)
second digit can be filled with remaining 9 digits ( as already 1 digit is being used)
third digit can be filled with remaining 8 digits ( as already 2 digits are being used)
fourth digit can be filled with remaining 7 digits ( as already 3 digits are being used)
fifth digit can be filled with remaining 6 digits ( as already 4 digits are being used)
the maximum number of different passwords brad can have = 10x9x8x7x6
=30240