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7655
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if we assume that the password can only be 4 digits long, then for 7654 I get P = 1/5040 and unfortunately for 7656 its P=0
For my nephew who loves General Grievous:
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Math checks out, assuming exactly 4 digits.
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This number brings up lots of roofing contractors since dialing roof is 7663.
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I looked for a good palindrome reference, but the best I could do was something shiny
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