Permutation & Combination · Question 30 · Hard

Permutation & Combination question 30

Seven friends, including Tara and Uday, sit around a round table. Arrangements that differ only by rotation are the same. In how many arrangements do Tara and Uday NOT sit next to each other?

  1. 600
  2. 480
  3. 240
  4. 720
Answer and explanation

Answer: B. 480

Explanation: Total circular arrangements = (7 − 1)! = 720. With Tara and Uday together (as one unit, in 2 orders): 5! × 2 = 240. So 720 − 240 = 480.

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