There are n students in a school quiz club. The club need to select r students for a local competition, with r rounds (each student competes
round each)
one
Based on the number of students in the club, three of the students will not
make the team and will have
to be reserves.
If the students are selected for the team and assigned a round of the competition, there are 805 more
ways to choose the team than if they only select the team members for now (ignoring the assignment of
rounds).
Use an algebraic method to find the value of n.