a venn diagram shows sets C and D, where P and Q are subsets of C and D respectively.
(i)given that n(C)=33, n(D)=41, n(C intersect D)=x, write down in terms of x,the values of n(P) and n(Q).
(ii)if n(C n D)=51, calculate the value of x
A venn diagram shows sets C and D, where P and Q?
P= n(C)-X
Q = n(D) -x
II You must mean union instead of intersection in this problem.
Because if x is to be the intersection, you've already given it a value which is 51...
Assuming n (C u D)= 51
n (c)+ n(d)- n (C intersection D) = n (C u D)
N(C)+ n(D) - x= n (CUD)
33+41 - x = 51
x= 33+41-51
x= 23
Assuming:
(C intersection D) = 51
x=51
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