M and N are two subsets of the universal set (U). If n(U) = ...
M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M \(\cap\) N)
A.
18
B.
20
C.
30
D.
38
Correct answer is D
Let n(M \(\cup\) N \) = x
Then 20 - x + x + 30
- x = n(M \(\cup\) N)
50 - x = 40
50 - 40 = x
10 = x
x = 10
Hence, n(M \(\cup\N)' = 8 + (20 - 10) + (30 + 10)
= 8 + 10 + 20
= 38
Similar Questions
If 0.0000152 x 0.042 = A x 108, where 1 \(\leq\) A < 10, find A and B...
Factorize completely 9y2 - 16X2...
If x =3, y = 2 and z = 4 what is the value of \(3x^{2}-2y+z\)...
The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is ...
Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) - 2x...