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If six students, including two particular students A and B , stand in a row, then the probability that A and B are separated with one student in between them is

Options

  1. A8 15
  2. B4 15
  3. C2 15
  4. D1 15

Correct answer

B. 4 15

Step-by-step solution

Consider a group of three students A, B and an other student in between A and B . Choice for a student between A and B is 4. A and B can interchange their places in the group in 2 ways. Now the group of three students (student A , student B and a student in between A and B ) and the remaining 3 students can be stand in a row in 4 ! ways. Hence total number of ways to stand in a row such that A and B are separated with one student in between them =4 2 4 ! Now total number of ways to stand 6 student stand in a row wi

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