In a class of 52 students, 13 excel in Science and Mathematics, 16 excel in Science and Arts, 12 excel in Mathematics and Arts, 24 excel in Arts, and 2 excel in none. Twice as many students excel in Science only as do in Mathematics only. The number of students who excel in Mathematics only is six times the number of students who excel in Arts only. Required Using the Venn diagram technique as part of your background analysis (i. e you are not required to draw the Venn diagram on the answer platform), but however, while demonstrating as much calculations on the answer platform as possible , work determine the number of students in the following distinct sets of the this problem: x - those who excel in all Three subjects (4 marks) a - those who excel in the Science subject only (1 ½ marks) b - those who excel in the Science and Mathematics subjects but not the Arts subjects (1 ½ marks) c - those who excel in the Mathematics subject only (1 ½ marks) d - those who excel in the Science and Arts subjects but not in Mathematics (1 ½ marks) e - those who excel in the Mathematics and Arts subjects but not in Science (1 ½ marks) f - those who excel in the Arts subject only (1 ½ marks) g - those who excel in None of the subjects (1 ½ marks) h - the total number of students who excel in two and only two subjects. (2 Marks)