Question

If there are 6 randomly selected digits in an automobile license tag, and each digit must be one of the 10 integers (0-9), then there are 106 possible license tags.A. TrueB. False

Answer 1

Answer: True.

Step-by-step explanation:

The total number of possible digits in the number system :  10  (from 0 to 9)

If there are 6 randomly selected digits in an automobile license tag, and each digit must be one of the 10 integers (0-9), then the choices for each digit in license tag = 10

Fundamental counting principle , the total number of ways to make 6-digits license tag where the choices for each digit in license tag is 10 will be :

$10\times10\times10\times10\times10\times10=10^6$

Hence, there are $10^6$ possible license tags.

Therefore , the given statement is correct.