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A game was conducted in a typewriting class, where a candidate has to type/enter all the three-digit numbers without space. If made a mistake while typing, the candidate can use the backspace key once for one three-digit number. What is the least number of times a candidate has to press the keys to type all the three-digit numbers? (Assuming the candidate did not make any mistake)

Question

A game was conducted in a typewriting class, where a candidate has to type/enter all the three-digit numbers without space. If made a mistake while typing, the candidate can use the backspace key once for one three-digit number. What is the least number of times a candidate has to press the keys to type all the three-digit numbers? (Assuming the candidate did not make any mistake)

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Solution

To solve this problem, we need to understand how many three-digit numbers there are and how many key presses each requires.

  1. The smallest three-digit number is 100 and the largest is 999. So, there are 999 - 100 + 1 = 900 three-digit numbers.

  2. Each three-digit number requires 3 key presses (one for each digit).

  3. Therefore, to type all three-digit numbers, a candidate has to press the keys 900 * 3 = 2700 times.

So, the least number of times a candidate has to press the keys to type all the three-digit numbers is 2700, assuming the candidate did not make any mistake.

This problem has been solved

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