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

_ _ _

1. When all are 7, we have 1 combination i.e. 7 7 7 and since 7 appears 3 times we have 1*3=

32. When we have 2 7s, 7 7 _, we can fill the dash with 9 remaining digits and these can be further arranged in 3 ways.

Total ways = 9*3=27; but 7 appears 2 times in each combination; thus we have 27*2 =

543. When we have 1 7; 7 _ _ , we can fill the remaining dashes with remainng 9 digits.

Total ways = 9*9*3=

243Thus Final Total = 243+54+3 =

300
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Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

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My study resources:1. Useful Formulae, Concepts and Tricks-Quant2. e-GMAT's ALL SC Compilation3. LSAT RC compilation4. Actual LSAT CR collection by Broal5. QOTD RC (Carcass)6. Challange OG RC7. GMAT Prep Challenge RC