There are $42$ students in a class. Of these, $28$ have long hair and $16$ wear spectacles. Gi

Question

There are $42$ students in a class. Of these, $28$ have long hair and $16$ wear spectacles. Given the following sets $H = \{\text{students who have long hair}\hspace{0.15em}\}$, $S = \{\text{students who wear spectacles}\hspace{0.15em}\}$, find the least value of $n((H \cap S)')$, find the greatest value of $n(H' \cup S)$, express in set notation $\{\text{students who neither have long hair nor wear spectacles}\hspace{0.15em}\}$.

Accepted Answer

(i) $26$ (ii) $30$ (iii) $H'\cap S'=(H\cup S)'$

Sets - Combined Operations on Sets

Sets - Combined Operations on Sets

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