20 persons are in a row and John wants to pick 7 out of them.In how many ways can John select them such that at least one person finds the person next to him (in the row) is also selected. If K is the number of ways, give your answer as greatest integer less than
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No. of ways = total no. of ways of selecting 7 people - (No. of ways in which no two people are consecutive) = ( r n ) - ( r n − r + 1 ) ; K = ( 7 2 0 ) - ( 7 1 4 ) ; 1 0 4 K = 7.4088