seekmba wrote:

How many times will the digit 7 be written when listing the integers from 1 to 1000?

(A) 110

(B) 111

(C) 271

(D) 300

(E) 304

Here's one way to look at it.

Write all of the numbers as

3-digit numbers.

That is, 000, 001, 002, 003, .... 998, 999

NOTE: Yes, I have started at 000 and ended at 999, even though though the question asks us to look at the numbers from 1 to 1000. HOWEVER, notice that 000 and 1000 do not have any 7's so the outcome will be the same.

First, there are 1000 integers from 000 to 999

There are 3 digits in each integer.

So, there is a TOTAL of

3000 individual digit. (since 1000 x 3 = 3000)

Each of the 10 digits is equally represented, so the 7 will account for 1/10 of all digits.

1/10 of

3000 = 300

So, there are 300 0's, 300 1's, 300 2's, 300 3's, . . ., and 300 9's in the integers from 000 to 999

Answer: D

Cheers,

Bren

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