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Combinations?

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by tsmith93 » Mon Mar 15, 2010 1:55 am
To use a certain cash machine, you need a Personal Identification Code (PIC). If each PIC consists of two letters followed by one of the digits from 1 to 9 (such as AQ7 or BB3) or one letter followed by two digits (such as Q37 or J88), how many different PIC's can be assigned?
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by [email protected] » Mon Mar 15, 2010 2:29 am
tsmith93 wrote:To use a certain cash machine, you need a Personal Identification Code (PIC). If each PIC consists of two letters followed by one of the digits from 1 to 9 (such as AQ7 or BB3) or one letter followed by two digits (such as Q37 or J88), how many different PIC's can be assigned?

number of possible combinations of PIC with 2 letters followed by 1 digit = 26 X 26 X 9 = 6084
number of possible combinations of PIC with 1 letters followed by 2 digits = 26 X 9 X 9 = 2106

Total = 6084 + 2106 = 8190
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