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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Contest [swordfish #2]: Find ways to select people on circular table
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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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