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