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 = {b_1, b_2, b_3} and G = {g_1, g_2}, 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 : (I) How many relations are possible from B to G ? (II) Among all the possible relations from B to G, how many functions can be formed from B to G ? (III) 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. OR (III) A function f : B → G be defined by f = {(b_1, g_1), (b_2, g_2), (b_3, g_1)}. Check if f is bijective. Justify your answer.

Year	Paper Code	Set	Position
CBSE 2023	Series 65-5	Set 3	Question 36
CBSE 2023	Series 65-5	Set 1	Question 36
CBSE 2023	Series 65-5	Set 2	Question 37

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)