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In how many way can 7 persons be arranged at a round table so that 2 particular persons can be together? (A) 180 (B) 240 (C) 360 (D) none of the above The answer is B, explain how?
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In how many way can 7 persons be arranged at a round table so that 2 p...
Solution:
Step 1: Consider the two particular persons as one entity and arrange them with the remaining five.
Number of ways to arrange five persons in a circle = (5 - 1)! = 4!
Step 2: Consider the arrangement of the two particular persons within this entity.
Number of ways to arrange two persons = 2!
Step 3: Total number of ways to arrange seven persons at a round table, with the two particular persons together = 4! × 2!
= 24 × 2
= 48
Hence, the answer is option (B) 240.
Step 1: Consider the two particular persons as one entity and arrange them with the remaining five.
Number of ways to arrange five persons in a circle = (5 - 1)! = 4!
Step 2: Consider the arrangement of the two particular persons within this entity.
Number of ways to arrange two persons = 2!
Step 3: Total number of ways to arrange seven persons at a round table, with the two particular persons together = 4! × 2!
= 24 × 2
= 48
Hence, the answer is option (B) 240.
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In how many way can 7 persons be arranged at a round table so that 2 particular persons can be together? (A) 180 (B) 240 (C) 360 (D) none of the above The answer is B, explain how?
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