An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. 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} G={g1, g2} where B represents the set of boys selected and G the set of girls who were selected for the final race. Ravi decides to explore these sets for various types of relations and functions1. Ravi wishes to form all the relations possible from B to G. How many such relations are possible?a. 26b. 25c. 0d. 232. Let R: B→B be defined by R = {(x, y): x and y are students of same sex}, Then this relation R is_______a. Equivalenceb. Reflexive onlyc. Reflexive and symmetric but not transitived. Reflexive and transitive but not symmetric3. Ravi wants to know among those relations, how many functions can be formed from B to G?a. 22 b. 212c. 32d. 234. Let R : B → G be defined by R = { (b1, g1), (b2, g2),(b3, g1)}, then R is__________a. Injectiveb. Surjectivec. Neither Surjective nor Injectived. Surjective and Injective5. Ravi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?a. 0b. 2!c. 3!d. 0!