n the mid-1980s, one state ran out of combinations of letters and numbers for its license plates. Then, each license plate contained five letters of the alphabet, followed by four digits selected from the 10 digits 0, 1, 2, . . . , 9. -.. a. How many different license plates did this system allow? 118813760000 b. More license plate tags tags were obtained by reversing the procedure, starting with five digits followed by four letters. How many new tags did the new system provide? 45697600000 c. Since the new tag numbers were added to the old numbers, what is the total number of licenses available for registration in the state? 35152000

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