Question

An organization conducted bike race under two different categories – Boys and Girls. There were 28 participants in all. Among all of them, finally three from category 1 and two from category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project. Let B = {b₁, b₂, b₃} and G = {g₁, g₂}, where B represents the set of Boys selected and G the set of Girls selected for the final race. Based on the above information, answer the following questions:

A school wants the students of class XII to do a project on 'Sustainability' keeping the world environment in mind. They select the student participants on the basis of an essay writing competition. 7 students out of 80 are selected for the project and are categorized into two sets such that : Girl students belong to Set A = {G1, G2, G3, G4}, Boy students belong to Set B = {B1, B2, B3}. Based on the above information, answer the following questions :

Two friends Ramesh and Divya have started playing Ludo at their house. While rolling the die, they observed each time, that the possible outcomes are {1, 2, 3, 4, 5, 6}. Let A be the set of players and B be the set of all possible outcomes, so A = {Ramesh, Divya} and B = {1, 2, 3, 4, 5, 6}. Based on the above information, answer the following questions : Let relation R : B → B be defined as R = {(x, y) : y is divisible by x}.

A relation R on set A = {1, 2, 3} defined as R = {(1, 2), (2, 1), (2, 2)} is