physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Ask & Discuss Questions with Community & Experts

Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Permutations and combinations
Forum Index -> Algebra like the article? email it to a friend.  
Author Message
preetirocks (0)

Cool goIITian

Olaaa!! Perrrfect answer. 0  [0 rates]

preetirocks's Avatar

total posts: 41    
offline Offline
What is the maximum no. of points of intersection of 8 circles??
    
sboosy (2970)

Blazing goIITian

Olaaa!! Perrrfect answer. 522  [702 rates]

sboosy's Avatar

total posts: 498    
offline Offline
\mbox{Maximum no. of pts. of intersection of 2 circles is 2} \\ \\ \mbox{Now the next (3rd)circle can intersect the 2 drawn circles each at 2 distinct pts} \\ \\ \mbox{That accounts for 4 pts.Thus totally we have got 2+4=6 pts} \\ \\ \mbox{Now the fourth circle can intersect the drawn three each in 2 distinct pts.} \\ \\ \mbox{That accounts for 6 pts.Thus totally we have 6+6 =12 pts} \\ \\ \mbox{This way we see that we form an AP} \\ \\ \mbox{Thus the maximum no. of pts. of intersection of 8 circles is} \\ \\ 2+4+6+8+10+12+14 = 56
 this reply: 10 points  (with Olaaa!! Perrrfect answer.   in 2 votes )   [?]
 
You have to be logged on to rate
  
ananth_patri (574)

Blazing goIITian

Olaaa!! Perrrfect answer. 82  [164 rates]

ananth_patri's Avatar

total posts: 1302    
offline Offline
another simple way is 2*(8C2) as two circles gives 2 pts and 2 can be chosen in 8C2 ways...

The only place where you will find success before hard work is in the dictionary
A winner never quits.....a quitter never wins......
 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
hash_include (381)

Scorching goIITian

Olaaa!! Perrrfect answer. 59  [102 rates]

hash_include's Avatar

total posts: 203    
offline Offline
edited.. sorry sboosy. i made a terrible mistake..

JEE and OLYMPIA INFINATUM
http://iit-redefined.theforum.name/index.php

join the revolution!!
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
sboosy (2970)

Blazing goIITian

Olaaa!! Perrrfect answer. 522  [702 rates]

sboosy's Avatar

total posts: 498    
offline Offline
Hash , i think my answer is correct , infact there is a sur mistake in ur general form
u have said it is of the form n^2+n , where n according to u is the number of intersecting circles.
Now lets come back to the basic case (n=2) that is 2 circles intersecting
according to ur formula we'll get
2^2+2 = 6
we know that the answer is not 6 and it is 2 rather

And i also think i understand what u meant to do ..
only thing in ur formula that n should stand for the number of circles - 1
that way 2 circles means 1^2+1 = 2(which is right)
3 circles means 2^2+2 = 6(which is right)
and likewise
8 circles means 7^2+7 = 56
which is exactly what ive got

 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
RyuAmakusa (449)

Blazing goIITian

Olaaa!! Perrrfect answer. 75  [112 rates]

RyuAmakusa's Avatar

total posts: 352    
offline Offline
well according to me the MAAAAXIMUM no of points is INFINITE draw all the 8 in the same place
 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Algebra
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya