In a certain country vehicle number plates come in a certain format - XXX - XXXX . The first 3 places are filled with letters of an alphabet and the next 4 spaces are filled with numbers starting from 0001. What is the maximum number of vehicle number plates that we can have.  Select the correct option.
A) 175742424	B) 175742425	C) 175742434	D) 175742444	E) 100000000
The first set of XXX can be filled with letters only.   So the number of ways is 26*26*26 (Since there are 26 letters in an alphabet and we can use any letter in all 3 places, since repetition is allowed)   The second set of XXXX can be filled with numbers ranging from 0,1,2,3,4,5,6,7,8,9   Number of ways by which we can have letters in this is 10 * 10 * 10 * 10 since we can have any number at any place, since repetition is allowed   = (10*10*10*10) - 1 (we are subtracting 1 since one of the numbers can be 0000 which is not allowed since numbers start with 0001)   Total number of vehicles can be   =26*26*26 * (10000-1)= 
<gadget id="calculator">26*26*26 * (10000-1)</gadget>
<output>175_742_424</output>
175742424   175742424nswer: 175742424
<result>A</result>
In a certain country vehicle number plates come in a certain format - XXX - XXXX . The first 3 places are filled with letters of an alphabet and the next 4 spaces are filled with numbers starting from 0001. What is the maximum number of vehicle number plates that we can have.