A warehouse is labeling computer inventory with 4-digit codes. Each code is to consist of four digits between the numbers 0 and 7. 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 like0025cannot 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?
Choose one:	A) 7000	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 = 7*10*10*10=9*10^3   The difference = 10^4 - 7*10^3 = 10^3(10-7) = 7*10^3.   Answer: A.   Similar questions to practice:   Hope it helps.
<result>A</result>
A warehouse is labeling computer inventory with 4-digit codes. Each code is to consist of four digits between the numbers 0 and 7. 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 like0025cannot 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?