Some students arranged a picnic.The budget of food was ₹2400.Four students of the gourp failed to go.The cost of food for each student got increased by ₹50.How many students went for the picnic?

How many 5-member commitees can be formed from 8 teachers and 3 students so that a particular teacher is always selected for each committee?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.

In a school,students thought of planting tress in and around the school to reduce air pollution.It was decided that the number of trees that each section of each class will plant will be the same as the class in which they are studing e.g.a section of I class will plant 1 tree,a section of II class will plant 2 trees and so on,a section of XII class will plant 12 trees.There are three sections of each class. Find out how many trees were planted.