
Figure it out - Page 44, 45
Figure it out - Page 44, 45
Last updated at Aug. 18, 2025 by Teachoo
Transcript
Question 11 A digital locker has an alphanumeric (it can have both digits and letters) passcode of length 5. Some example codes are G89P0, 38098, BRJKW, and 003AZ. How many such codes are possible?Our 5-digit passcode looks like Since it is alphanumeric, it can have Digits 0-9, that is 10 digits Letters A-Z, that is 26 alphabets Thus, each position of code has 10 + 26 = 36 options To find the total number of possible passcodes, you multiply the number of options for each position. Total codes = 36 × 36 × 36 × 36 × 36 = 365 = 60,466,176 Thus, there are 365 (or 60,466,176) possible codes.