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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Contest [swordfish #2]: Find ways to select people on circular table
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aashokkumarg (0)

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36
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PREETHA (0)

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1,3,5,7,9,11,13,
 
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abcdef (0)

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it iis arr 7 vacancies &9 people on round table such that no 2 vacancies r 2gether
 
 
8! * (8c7) * 6!
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chandrasekhar (10)

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swordfish #2 result The solution given by ravitej is correct he deserves a prize
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kavitha (0)

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total no of people to be arranged arround a circular table = 16
no. of ways in which remaining 9 people may be arranged = ( 9 - 1)! = 8!
the other 7 persons may be arranged among themselves in 7! ways.
 
Thus total no. of ways = 8! * 7! = 203212800
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11 (0)

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167*7!/2!
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heena27 (0)

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hey i need ans. fr those ques. askd and also i want to be informed fr nxt contest....i wil prepare fr it
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striker (256)

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16*7

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simpler@INDIAN
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striker (256)

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hi friends whr c'ld I find bitsat sample papers
 

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simpler@INDIAN
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antron.16 (0)

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since we have to select 7 ppls frm 16 but no consicutives shoul b selected then

lets start this way
consider a person as the head...
now including the head we have 8 members in which no two are consicutive..
there4 the total no. of ways 4 selection  of 7 ppl frm 8 is
8c7
now the person just next to the head is excluded in the 1st case ,so now lets count him now and the other 7 ppl who were left before , so now again we have 8 members and no 2 of them are consicutive
again the total no of ways to select 7 ppl frm 8 is
8c7
now the case 1 is independable of the case 2 there4

total no of cases will be
 8c7+8c7=2*8c7=2*8c1=16
ans is 16
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metal (110)

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This is easy.
Total number of ways of selecting 7 people = 16c7
From this we have to subtract number of ways all three are consecutive =16 and also the number of ways inwhich two are consecutive = 16x 12c1
 
Therefore the final answer is = 16c7 - 16 - 16x12c1.
 
Got it???
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metal (110)

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Somebody please rate me!!!
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rdeoranjan (61)

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swati_singh15 (0)

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to select 7 people such that none is consecutive would be

First person can occupy any of the 16 chairs
Second person can sit in rest of the 13 chairs
Third in 11, Fourth in 9,Fifth in 7, Sixth in 5 ,proceeding in this way
Therefore total number of ways to sit= 16*13*11*9*7*5*3=2162160
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