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# GRE Counting and Probability: Practice Question of the Week #39

Here’s this week’s practice question– good luck, we’ll be posting the answer tomorrow!

How many integers between and  are such that the sum of their digits is ?

1. 190
2. 210
3. 211
4. 230
5. 231

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### 4 Responses to GRE Counting and Probability: Practice Question of the Week #39

1. SKJ February 20, 2012 at 8:59 pm #

231

one digit nos adding to 2 (only 2) => 1
2 digit nos(11,20) => 2
3digit nos(101,110,200) => 3
4 digit nos(1001,1010,1100,2000) => 4

similarly
————————————–
20 digit nos will be =>20
21 digit nos will be =>21

2. Ravi February 20, 2012 at 1:50 pm #

231 only if you consider two 1’s and 251 if you include two 1’s and one 2

3. Ravi February 20, 2012 at 1:45 pm #

1+2+3+….+21 = 231

4. Ravi February 20, 2012 at 1:44 pm #

231

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