Answer:
Answer choice A
Step-by-step explanation:
For the first letter, there are 26 options, as there are for the second and third letter. For each of the three numbers, there are 10 digits to choose from. Therefore, 26*26*26*10*10*10=17,576,000, or answer choice A. Hope this helps!
Option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
A permutation is an arrangement of objects in a definite order. It is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
For the given situation,
A state license plate consists of three letters followed by three digits.
There are 26 letters from a to z and 10 digits from 0 to 9.
The license plate consists of three letters and three digits so the possibility of arrangements are
⇒ [tex](26)(26)(26)(10)(10)(10)[/tex]
⇒ [tex]17576000[/tex]
Hence we can conclude that option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
Learn more about permutations here
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