- An organisation 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 above information, answer the following questions.
- How many relations are possible from B to G?
- Among all the possible relations from B to G, how many functions can be formed from B to G?
- Let R: B→B be defined by R={x,y} : x and y are students of the same sex}. Check if R is an equivalence relation.
