Multiple choice

The number of ways in which Aman, Anaya, Danish and Nero can stand in a straight line such that, Danish comes between Aman and Anaya and Nero does not come between Aman and Anaya is _________________.

  1. 4

  2. 6

  3. 8

  4. 12
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A Correct answer
Explanation

Total permutations of 4 people is 4! = 24. Danish between Aman and Anaya: (A, D, An) or (An, D, A). There are 2 arrangements for the trio, and Nero can be in 2 positions (before or after the trio). Total = 2 * 2 = 4.

AI explanation

Treat Aman, Anaya and Danish as a single block where Danish is between the other two, giving 2 internal arrangements: Aman, Danish, Anaya and Anaya, Danish, Aman. Since Nero must not be between Aman and Anaya, Nero must be at either end of the four person line, creating 2 possible positions for him. The total number of valid arrangements is 2 times 2, which equals 4 ways.

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