Answer :
Answer:
78,624,000 license plates
Step-by-step explanation:
For each of the 4 numbers, we have the following possibilities:
First number: 10 digits possible
Second number: 9 digits possible (one used)
Third number: 8 digits possible (two used)
Fourth number: 7 digits possible (three used)
For each of the 3 letters, we have the following possibilities:
First letter: 26 digits possible
Second letter: 25 digits possible (one used)
Third letter: 24 digits possible (two used)
The total number of license plates is the product of all these possibilities:
Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
What are permutation and combination?
A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
In a certain country, the car license plate is formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet.
There are 10 numbers.
And there is 26 alphabet.
The license plates can be formed if neither the digits nor the letters are repeated will be
[tex](number)(alphabet)\\\\(9*8*7*6)(26*25*24) \\\\78,624,000[/tex]
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255