How many times does the digit 6 appear when writing from 6 to 400 ?


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Question Number 44038 by Tawa1 last updated on 20/Sep/18

$How many times does the digit 6 appear when writing from 6 to 400 ?$
	Answered by $@ty@m last updated on 20/Sep/18

	$6, 16, 26, 36, 46, 56,$ $60, 61, 62, 63, 64, 65, 66, 67, 68, 69,$ $76, 86, 96$ $i . e . 20 t i m e s i n b e t w e e n 1 t o 100$ $\Rightarrow 80 t i m e s i n b e t w e e n 1 (o r 6) t o 400$
	Commented by Tawa1 last updated on 20/Sep/18

	$God bless you sir$
	Commented by $@ty@m last updated on 20/Sep/18

	$A n o t h e r w a y :$ $I n b e t w e e n 1 t o 100,$ $N o . o f n u m b e r s i n w h i c h u n i t$ $d i g i t i s 6 = 10$ $N o . o f n u m b e r s i n w h i c h t e n s$ $d i g i t i s 6 = 10$ $∴ 6 a p p e a r s 20 t i m e s i n b e t w e e n 1 t o 100 .$
	Commented by Tawa1 last updated on 20/Sep/18

	$God bless you sir$
	Answered by MrW3 last updated on 20/Sep/18

	$i n n u m b e r s w i t h o n e d i g i t :$ $1 t i m e$ $i n n u m b e r s w i t h t w o d i g i t s :$ $9 + 8 + 1 \times 2 = 19 t i m e s$ $i n n u m b e r s w i t h t h r e e d i g i t s :$ $3 \times (2 \times 9 + 1 \times 2) = 60 t i m e s$ $Σ = 1 + 19 + 60 = 80 t i m e s$
	Commented by malwaan last updated on 20/Sep/18

	$66; 166; 266; 366$ $1 O R 2 t i m e s ?$
	Commented by MrW3 last updated on 20/Sep/18

	$t w o t i m e s i n e a c h o f t h e s e n u m b e r s$
	Commented by Tawa1 last updated on 20/Sep/18

	$God bless you sir$
	Commented by malwaan last updated on 21/Sep/18

	$thank you sir$
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