4400 Higher November 2009 Paper 4 Q20

EdexcelHigherOld spec5 marksSets

20 \(P\) and \(Q\) are two sets.
\(\mathrm{n}(P) = 9\) and \(\mathrm{n}(Q) = 5\)

(a) Find the value of \(\mathrm{n}(P \cup Q)\) when \(P \cap Q = \varnothing\) (1)
(b) Find the value of \(\mathrm{n}(P \cup Q)\) when \(Q \subset P\) (1)
(c)
(i) Complete the Venn Diagram to show numbers of elements when \(\mathrm{n}(P \cap Q) = 3\)
Venn diagram of two overlapping circles P and Q with a blank answer space in each of the three regions
(ii) Find the value of \(\mathrm{n}(P \cup Q)\) when \(\mathrm{n}(P \cap Q) = 3\) (3)
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