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Re: What percent of the integers between 100 and 999, inclusive, [#permalink]
24 Mar 2017, 15:38

2

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Expert's post

HarveyKlaus wrote:

What percent of the integers from 100 to 999, inclusive, have all three digits the same?

(A) 1% (B) 2% (C) 3% (D) 4% (E) 5%

A nice rule says: the number of integers from x to y inclusive equals y - x + 1 999 - 100 + 1 = 900 So, there are 900 integers from 100 to 999, inclusive

Of those 900 integers, the integers with all 3 digits the same are: 111, 222, 333, 444, 555, 666, 777, 888, and 999 So, there are 9 altogether.

So, 9/900 = what percent? Well, 9/900 = 1/100 = 1%