The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit is either 4 (Visa) or 6 (Discover), digits 2 through 6 identify the issuer, digits 7 through 15 identify the customer, and the last digit is a "check digit" determined by the digits that precede it. Your company, CreditXplosion, Inc., issues both Visa and Discover credit cards. (a) How many different CreditXplosion cards are possible? (b) How many different CreditXplosion Discover card numbers are possible in which the check digit is wrong?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit is either 4 (Visa) or 6 (Discover), digits 2 through 6 identify the issuer, digits 7 through 15 identify the customer, and the last digit is a "check digit" determined by the digits that precede it. Your company, CreditXplosion, Inc., issues both Visa and Discover credit cards.
 
(a) How many different CreditXplosion cards are possible?
 
(b) How many different CreditXplosion Discover card numbers are possible in which the check digit is wrong?
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