n ( 4 ) kids are standing in a line one next to the other, such that everybody is facing north. How many kids are there? Statement 1: Number of ways in which 3 kids can be selected such that no two selected kids are standing next to each other is 10. Statement 2: If the kids are made to sit around a circular table such that one particular kid always occupies a specific seat, the number of such arrangements possible is 120.

Question

n ( > 4 ) kids are standing in a line one next to the other, such that everybody is facing north. How many kids are there? Statement 1: Number of ways in which 3 kids can be selected such that no two selected kids are standing next to each other is 10. Statement 2: If the kids are made to sit around a circular table such that one particular kid always occupies a specific seat, the number of such arrangements possible is 120.

Amit Agarwal · Accepted Answer

It is powerplay quesn. In this question's answer, the answer given form 1st statement is : From statement 1: Let there be n kids in the line. The number of ways of selecting 3 of them such that the selected kids are not next to each other is n−2C3=10 => n-2 = 5 => n = 7. Can you elaborate ?

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