COMBINATION
How to find the pin code (4 pin) of your phone by the concepts and application of permutation and combination. The data are 1,2,3,4,5,6,7,8,9,0.
A pin code can have repeated elements so we will use the formula of combination.
Given
- Total number of items (n) = 10
- Number of items being chosen (r) = 4
C (n,r) = n! / (n - r)! r!
C (10,4) = 10! / (10 - 4)! 4!
C (10,4) = 10! / 6! 4!
C (10,4) = 3628800 / 17280
C (10,4) = 210
So there are 210 ways to find your pin code and you have a chance of 1/210 or 0.47% to guess your pin code on the first try.
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