Question

E, F and G are 3 finite sets and U is the universal set such that n(U) = 600, n(E) = 75, n(F) = 125, n(E ᴖ F) = 50, find n(E' ᴖ F')
1. 300
2. 350
3. 450
4. 100

Answer 1

Correct Answer - Option 3 : 450

Given

n(U) = 600, n(E) = 75, n(F) = 125, n(E ᴖ F) = 50

Concept

n(E' ᴖ  F') = n(E ᴗ F)'

n(E ᴗ F)' = n(U) - n(E ᴗ F)

n(E ᴗ F) = n(E) + n(F) - n(E ᴖ F)

calculation

n(E ᴗ F)' = n(U) - [n(E) + n(F) - n(E ᴖ F)]

n(E ᴗ F )'= 600 - [(75 + 125 - 50)]

n(E ᴗ F )'= 600 - (150)

n(E ᴗ F )' = 450

so, n(E' ᴖ F') = 450