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Question

In writing all of the integers from 1 to 300, how many times is the digit 1 used ?

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Solution

In the hundreds column, it will be used 100 times (100 - 199)
In the tens column, it will be used 30 times (10 - 19, 110 - 119, 210 - 219)
In the units column, it will be used 30 times (1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101, 111, ......191, 201, 211......291)

Thus 100 + 30 + 30 = 160 times

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