There are 676,000 different combinations obtained from A keycode of 2 letters and 3 numbers.
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items
The English alphabet contains 26 letters (a, b, c, ...y, z).
The digits from 0 to 9 are a total of 10.
A keycode contains 2 letters, and 3 numbers, for example:
AB 598; MM 139; NT 498; ...
So there are 26 possible choices for the first letter, which can combined with any of the 26 possible choices for the second letter, so there are a total of
[tex]26\times 26=676[/tex] possible pairs of letters.
Similarly, the 10 possible choices for the first number, which can be combined with the 10 possible choices for the second number, and the 10 possible choices for the third number make a total of :
[tex]10\times 10\times 10=1,000[/tex]possible triples of numbers.
Any of the 676 possible pairs of letters can be combined with any of the possible 1,000 triples of numbers. This makes a total of
[tex]676\times 1,000=676,000[/tex]keycodes.
Hence there are 676,000 different combinations obtained from A keycode of 2 letters and 3 numbers.
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