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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. Put it on 1/8 illustration board.​


Sagot :

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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