Acomputer company uses 6 characters to create their serial number identification for products. the first 3 characters are any single digit number but no character can repeat in those first 3 characters. the next two characters must be a letter and those two letters cannot be the same. the last space can be any number or letter without any restriction. how many unique serial numbers are possible?

a. 11,232,000
b. 24,336,000
c. 15,912,000
d. 16,848,000

d. 16,848,000.

Step-by-step explanation:

First 3 characters  is the number of permutations of 3 numbers from 10

= 10P3 =   10! / (10-3)! = 720 possible ways.

The next 2 characters  are letters so the possible permutations  are  26P2

= 26! / (26-2)! = 650 ways.

The last  character can be any one of 10 + 26 = 36 characters.

So the answer is 720*650*36

= 16,848,000.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.