Answer:
Option: B is the correct answer.
B. 95040 codes
Step-by-step explanation:
There are a total of 12 characters which could be assigned.
The characters are:
0, 1, 2, 3, 4, 5, M, V, T, G, Y, or R.
We have to make a five-character code.
Also, none of the characters in the code could be repeated.
This means that we have to choose any 5 of the 12 characters and arrange them so as to get a code.
Hence, total number of such codes possible are given by the formula:
[tex]{12}_P_{5}[/tex]
Hence, it is calculated as:
[tex]{12}_P_{5}=\dfrac{12!}{(12-5)!}\\\\\\{12}_P_{5}=\dfrac{12!}{7!}\\\\\\{12}_P_{5}=12\times 11\times 10\times 9\times 8=95040[/tex]
