Credit cards have 16-digits numbers, of which the first 15 digits identify the credit card and the sixteenth digit is the check digit (the last digit is fixed). U-Kan-Trust-US credit card numbers begin with 61, 62, or 63. What is the maximum number of credit cards that UKTU can issue?
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30 * 10¹² = 30 Trillion Credit Cards can be issued by Bank
Step-by-step explanation:
Total Digits = 16
last Digit is fixed
First Two Digits can be 61 , 62 or 63
in 3 Ways
Remaining Digits = 16 - 1 - 2 = 13 Digits
Each Digit can be from 0 to 9 in 10 Ways
13 Digits can be in 10¹³ Ways
Total Credit Cards which can be issued = 3 * 10¹³
= 30 * 10¹²
= 30 Trillion Credit Cards can be issued by Bank
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