If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed?  Select the correct option:	A) 3980	B) 3700	C) 3840	D) 3780	E) 3680
DETAILED SOLUTION   We need to consider all three digit and all 4-digit numbers.   Three-digit numbers: A B C. 3 can be printed in the 100’s place or 10’s place or units place.   =&gt; 100’s place: 3 B C. B can take values 0 to 9, C can take values 0 to 9. So, 3 gets printed in the 100’s place 100 times   =&gt; 10’s place: A 3 C. A can take values 1 to 9, C can take values 0 to 9. So, 3 gets printed in the 10’s place 90 times   =&gt; Unit’s place: A B 3. A can take values 1 to 9, B can take values 0 to 9. So, 3 gets printed in the unit’s place 90 times   So, 3 gets printed 280 times in 3-digit numbers   Four-digit numbers: A B C D. 3 can be printed in the 1000’s place, 100’s place or 10’s place or units place.   =&gt; 1000’s place: 3 B C D. B can take values 0 to 9, C can take values 0 to 9, D can take values 0 to 9. So, 3 gets printed in the 100’s place 1000 times.   =&gt; 100’s place: A 3 C D. A can take values 1 to 9, C &amp; D can take values 0 to 9. So, 3 gets printed in the 100’s place 900 times.   =&gt; 10’s place: A B 3 D. A can take values 1 to 9, B &amp; D can take values 0 to 9. So, 3 gets printed in the 10’s place 900 times.   =&gt; Unit’s place: A B C 3. A can take values 1 to 9, B &amp; C can take values 0 to 9. So, 3 gets printed in the unit’s place 900 times.   3 gets printed 3700 times in 4-digit numbers.   So, there are totally  3700 + 280= 
<gadget id="calculator"> 3700 + 280</gadget>
<output>3_980</output>
3980 numbers.   CORRECT 3980NSWER : 3980
<result>A</result>
If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed?