A warehouse is labeling computer inventory with 4-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 4-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like "0025" cannot be used.
The manager wants to measure the magnitude of the number of 4-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost? Select the correct option: A) 981 B) 1000 C) 1011 D) 1101 E) 1110
The number of codes possible if leading zero is allowed = 10*10*10*10=10^4   The number of codes possible if leading zero is NOT allowed = 9*10*10*10=9*10^3   The difference = 10^4 - 9*10^3 = 10^3(10-9) = 10^3.=1000   Answer: 1000.
<result>B</result>
A warehouse is labeling computer inventory with 4-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 4-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like "0025" cannot be used.
The manager wants to measure the magnitude of the number of 4-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?