A warehouse is labeling computer inventory with 4-digit codes.
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?
Answer/Solution
7000
Steps/Work
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.
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.