Question 153
Fourteen schools participate in the second Tha Sala Mathematics Talent competition, with each school sending 14 students. The students take tests in 14 rooms, with 14 students in a room such that every room does not contain students from the same school.
Among the students there are 15 students who also participated in the first Tha Sala Mathematics Talent competition. At the opening ceremony the organizers will select 2 students from those who participated in the first competition to recite the pledge of honor, with the condition that the students are from different schools and take tests in different rooms.
Let $n$ be the number of ways to select 2 students satisfying the condition. Determine the least possible $n$.
Among the students there are 15 students who also participated in the first Tha Sala Mathematics Talent competition. At the opening ceremony the organizers will select 2 students from those who participated in the first competition to recite the pledge of honor, with the condition that the students are from different schools and take tests in different rooms.
Let $n$ be the number of ways to select 2 students satisfying the condition. Determine the least possible $n$.