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#1 2014-08-01 01:15:48

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Inclusion-Exclusion

In a survey of 100 people, 18 speaks english and only english, 23 speak english but not hindi, 8 speak both hindi and sanskrit, 26 speak english, 48 speak sanskrit, 8 speak both sanskrit and english, 24 speak no language.

How many people speak hindi?

How many people speak both hindi and english?

Please explain how to solve the problem.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#2 2014-08-01 02:49:39

niharika_kumar
Member
From: Numeraland
Registered: 2013-02-12
Posts: 1,062

Re: Inclusion-Exclusion

hey, I made it just now.From R D Sharma, right?

Use venn diagram(intersection).
picture053.jpg
assign values to those alphabets as per the requirement of the question.
Use the data above like
a+b+d+e=26

and similarly make other eqns.

It will be solved.

Last edited by niharika_kumar (2014-08-01 16:48:01)


friendship is tan 90°.

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#3 2014-08-01 02:52:38

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Inclusion-Exclusion

There are M programs that will draw nice Venn diagrams and even help fill them in.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#4 2014-08-01 03:14:41

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Inclusion-Exclusion

Hi niharika_kumar,

Thank you. smile

I cannot confirm it because someone else gave it to me.

The person below can show me the programs


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#5 2014-08-01 03:18:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Inclusion-Exclusion

I am looking at them now.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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