When a password consists of 2 letters followed by 2 digits. Then, number ,of different passwords can be formed using this combination is 67,600.
<h3>What is a combination?</h3>
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of a selection is irrelevant. You can choose the components of combos in any order.
The formula for calculating how many arrangements are feasible when only a few items are chosen from a set of items that are unique is as follows:
ⁿCₓ = n! / {(n-x)!×x!}
n = total elements given in the set.
x = total number of selected elements.
! = factorial
Calculation for the different password combination,
The total alphabets in English is 26 (A-Z)
The single digit number is 10 (0-9)
The combination for selecting first letter is;
²⁶C₁ = 26! / {25!×1!} = 26
Similarly, the combination for selecting second letter is;
²⁶C₁ = 26! / {25!×1!} = 26
The combination for selecting 3rd digit is;
¹⁰C₁ = 10! / {9!×1!} = 10
and, the combination for selecting 4th digit is;
¹⁰C₁ = 10! / {9!×1!} = 10
Thus, the total combination becomes;
= 26×26×10×10
= 67,600
Therefore, the number of total combination formed using 2 letters followed by 2 digits are 67,600.
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