Some students in a school were asked the following question. Of these students 28 have a dog 18 have a cat 20 have a rabbit 8 have both a cat and a rabbit 9 have both a dog and a rabbit $$\(x\)$$ have both a dog and a cat 6 have a dog, a cat and a rabbit 5 have not got a dog or a cat or a rabbit (a) Using this information, complete the Venn diagram to show the number of students in each appropriate subset. Give the numbers in terms of $$\(x\)$$ where necessary. (3) Given that a total of 50 students answered the question, (b) work out the value of $$\(x\)$$. $$\(x=\)$$ (2) (c) Find $$\(\mathrm{n}\left(C^{\prime} \cap D^{\prime}\right)\)$$ (1)

Answer:

Knowledge points:

Solution: