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 Post subject: venn diagram problemPosted: Sat, 16 Oct 2010 08:44:13 UTC
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Joined: Sat, 25 Sep 2010 10:38:05 UTC
Posts: 17
Times of India 20 read Hindu and times of India and 29 read hindu and Indian
express and 35 read times of India and Indian express. 50 read no news paper.
Then how many read only one paper?

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 Post subject: Re: venn diagram problemPosted: Sat, 16 Oct 2010 14:27:44 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6896
Location: On this day Taiwan becomes another Tiananmen under Dictator Ma.
shafreenz wrote:
Times of India 20 read Hindu and times of India and 29 read hindu and Indian
express and 35 read times of India and Indian express. 50 read no news paper.
Then how many read only one paper?

Inclusion-exclusion. Assuming "Hindu" , "Indian express" and "Times of India" are newspapers, first find how many people read all three.

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 Post subject: Re: venn diagram problemPosted: Mon, 18 Oct 2010 22:32:49 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 8117
Location: Lexington, MA
Hello, shafreenz!

There must be a typo.
The numbers are not consistent.

Quote:
In a town of 500 people:

. . 212 read Indian Express
. . 127 read Times of India

. . . . 29 read Hindu and Indian Express
. . . . 35 read Indian Express and Times of India
. . . . 20 read Hindu and Times of India

. . . . . . 50 read no newspapers.
.
How many read only one paper?

. . That is: .

Formula: .
. . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . .

We have: .

. . . . . . . .

Hence: . .??

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 Post subject: Re:Posted: Fri, 22 Oct 2010 11:19:39 UTC
 S.O.S. Newbie

Joined: Fri, 22 Oct 2010 10:44:18 UTC
Posts: 3
Location: California
HIndu = 285TOI = 127IE = 212now H nd TOI both is = 20(Draw a Venn Diagram nd check all) . TOI nd IE both is = 35H nd IE both is = 29now suppose H , TOI nd IE all is = x ;so,only Hindu is = 285-20-29-x = 236-x ;only TOI is = 127-20-35-x = 72-x ;only IE is = 212-35-29-x = 148-x ;now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500 so, x = 45this is the value who read all the 3 dailies.so,result is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.

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 Post subject: Posted: Fri, 29 Oct 2010 17:14:03 UTC
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Joined: Sat, 25 Sep 2010 10:38:05 UTC
Posts: 17
THANKS JUSTIN

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