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.
Please make a correction in the solution ...This formula will not be used in this question (cos theta = 2cos² theta - 1) instead it should be ( cos theta = 1 - 2sin² theta). Mathematics Class 12th exercise 5.6 question 6