Question 61

Amit Kumar got a 4-digit pass code (which is formed out of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) of his ATM card from ICICI Bank. But after the 50th day he lost the pass code and also forgot the number. How many maximum number of trials may he have to take to get the right number? 0 can be the beginning of the code number.

Solution

Since it is a 4 digit pass code, so

1st digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, can be any of the following. So 10 ways

2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, can be any of the following. So 10 ways

3rd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, can be any of the following. So 10 ways

4th digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, can be any of the following. So 10 ways

So, 10^4 ways.

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