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      Question

      In how many different ways can 6 teachers and 5 students

      be seated in a row so that they sit alternately?
      A 78900 Correct Answer Incorrect Answer
      B 62780 Correct Answer Incorrect Answer
      C 86400 Correct Answer Incorrect Answer
      D 92850 Correct Answer Incorrect Answer

      Solution

      T S T S T S T S T S T Now 6 teachers can be seated in 6 places in 6! Ways. 5 students can be seated in 5! ways. ∴ Required no. of ways = 6! × 5! = 720 × 120 = 86400

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