Let us look at a common aptitude query. There is a 4-character code, with 2 of them being letters and the other 2 are numbers. What will be the maximum number of attempts to arrive at the correct code if the code is case-sensitive.
Answer – 16,22,400 is the the maximum number of attempts needed.
Solution Analysis : There are 52 possible letters, a-z and A-Z, and 10 possible numbers 0-9. The 4 characters 2 letters and 2 numbers can be selected in 52*52*10 *10 ways. These 4 characters can be arranged in 4C2, 1.e six different ways. The number of unique patterns that can be formed by lining up 4 objects of which 2 are distinguished one way (i.e. they must be letters) and the other 2 are distinguished in one way (I.e they must be letters) and the other 2 are distinguished another way (I.e they must be numbers).
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