A warehouse is labeling computer inventory with 5-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 5-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 5-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost? Choose one.
A) 981  B) 1000  C) 1011  D) 10000  E) 1110
The number of codes possible if leading zero is allowed = 10*10*10*10*10=10^5   The number of codes possible if leading zero is NOT allowed = 9*10*10*10*10=9*10^4   The difference = 10^5 - 9*10^4 = 10^4(10-9) = 10^4.   Answer: D.   Similar questions to practice:   Hope it helps.
<result>D</result>
A warehouse is labeling computer inventory with 5-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 5-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 5-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?