Do all of the following questions. [Maximum mark: 6] A school surveys 60 of their students, asking if they enjoy one or more of the following subjects; mathematics (M), history (H) and biology (B). The results are as follows: . 21 students like mathematics, 33 like history, and 28 like biology. 6 students like all three subjects. 12 students like mathematics and history. . 9 students like mathematics and biology. . 15 students like history and biology.(a) Using the information above, complete the following Venn diagram. M U H 15 16 12 3 6 9 10 8 B 12 (b) Find the number of students who do not like any of the three subjects. 8 (c) A student is randomly selected from the surveyed students. Find the probability that this student likes mathematics, given that they like either mathematics or history._ P: (M /MUH ) hot 2to+ 18+33=51 both - 3 18 5 18 / 51 [Maximum mark: 5]