CBSE Class 8 Mathematics Question 11 of 14

Power Play — Question 11

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11
Question
A digital locker has an alphanumeric (it can have both digits and letters) pass code of length 5. Some example codes are G89P0, 38098, BRJKW, and 003AZ. How many such codes are possible?
Answer

Number of letters (A-Z) = 26 Number of digits (0-9) = 10 So, each character in the passcode can be any of the 36 alphanumeric characters. Also, each of the 5 positions has 36 options. Total codes = 36 5 = 6,04,66,176 Hence number of possible 5-character alphanumeric passcodes is 6,04,66,176.