In a school,20 teachers teach either mathemat | vedclass

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(A) Let $M$ be the set of teachers who teach mathematics and $P$ be the set of teachers who teach physics.Given:Total teachers $n(M \cup P) = 20$Teach

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(A) Let $M$ be the set of teachers who teach mathematics and $P$ be the set of teachers who teach physics.Given:Total teachers $n(M \cup P) = 20$Teachers teaching mathematics $n(M) = 12$Teachers teaching both subjects $n(M \cap P) = 4$Using the formula for the union of two sets:$n(M \cup P) = n(M) + n(P) - n(M \cap P)$Substituting the given values:$20 = 12 + n(P) - 4$$20 = 8 + n(P)$$n(P) = 20 - 8 = 12$Therefore,the number of teachers teaching physics is $12$.

In a school,$20$ teachers teach either mathematics or physics. If $12$ of them teach mathematics and $4$ teach both subjects,then the number of teachers teaching physics is:

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