If no letters or numbers are repeated, then the number of possibilities will be 11,232,000. Then the probability that the license plate is ABC123 or MOM678 will be 1/8,788,000.
What are permutation and combination?
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
A series of license plates are being produced that all have the same pattern of three letters (a-z) followed by three digits (0-9) without any repeats.
If no letters or numbers are repeated, then the number of the possibilities will be
Number of ways = 26 × 25 × 24 × 10 × 9 × 8
Number of ways = 11,232,000
Then the probability that the license plate is ABC123 or MOM678 will be
[tex]P = \dfrac{1}{17,576,000}+\dfrac{1}{17,576,000}\\\\P = \dfrac{1}{8,788,000}[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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