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5. If 4 married couples are arranged in a row, find the probability that no husband sits next to his wife. Hint. Let Ak-kth couple sits together, k = 1.2.3.4. Apply inclusion/exclusion principle and think about the book arrangement on the shelf: P (at least one couple sits together) i-1 i<j<k For instance with i < j. AiAj -the ith couple and the jth couple go together, the remaining 4 people are arranged in any order.

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