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Suppose n(≥3) persons are sitting in a row. Two of them are selected at random. The probability that they are not together is (A) 1- 2 n (B) 2 n-1 (C) 1- 1 n (D) nonoe of these A. 1- 1 n B. 1- 2 n C. 2 n+1 D. 2 n Select the correct answer from above options

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Correct Answer - B The total number of ways of selecting 2 persons out of n persons sitting in a row is . n C 2 . . Number of ways in which two adjacent persons are selected from n persons sitting in a row =(n-1) Hence, required probability = . n C 2 − ( n − 1 ) . n C 2 = 1 − 2 n =

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