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Debbie forgot Linda's phone number. She did remember that the first three numbers were 297-
and that all the rest of the digits in the phone number were 2s 9s and 7s. If she was very unlucky,
how many wrong numbers might she dial?
Solution
There are 4 digits left:
There are 3 choices for each digit....
So 297- (First digit left) 3 choices
Times
(Second Digit Left) 3 choices
Times
(third Digit Left) 3 choices
Times
(Fourth Digit Left) 3 Choices
3^4-1
81-1 80

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Debbie forgot Lindas phone number. She did remember that the first.pdf

  • 1. Debbie forgot Linda's phone number. She did remember that the first three numbers were 297- and that all the rest of the digits in the phone number were 2s 9s and 7s. If she was very unlucky, how many wrong numbers might she dial? Solution There are 4 digits left: There are 3 choices for each digit.... So 297- (First digit left) 3 choices Times (Second Digit Left) 3 choices Times (third Digit Left) 3 choices Times (Fourth Digit Left) 3 Choices 3^4-1 81-1 80