A group of students are standing in a circle. Each student faces someone across the circle. If student 2 faces student 9, how many students are in circle?
14
From your data, I don't see how patrick got 14. I think more information is needed.
To find the number of students in the circle, we need to identify the total number of students between student 2 and student 9, inclusive of both students.
In a circle, the number of students can be represented by the formula "n(n-1)", where "n" represents the number of students.
We know that student 2 is facing student 9. So there are 6 students (including student 2 and student 9) between them in the circle.
Now, we need to find the value of "n" that satisfies the equation "n(n-1) = 6".
One possible value for "n" is 4, since 4(4-1) = 4(3) = 12, which is not equal to 6.
Another possible value for "n" is 3, since 3(3-1) = 3(2) = 6, which is equal to 6.
Therefore, there are 3 students in the circle.