A boating club consists of $$82$$ members,each member is either a sailboat owner or a powerboatowner. If $$53$$ members owned sailboats and $$38$$ membersowned powerboats, the number of members owned bothsailboat and powerboat is

Question

A boating club consists of $$82$$ members,each member is either a sailboat owner or a powerboatowner. If $$53$$ members owned sailboats and $$38$$ membersowned powerboats, the number of members owned bothsailboat and powerboat is

Infinity Learn · Accepted Answer

Let S $$=$$ the set of all members owning sailboatsand P $$=$$ the set of all members owning $$powerboatsn(S$$ ∪ $$P)$$ $$=$$ $$n(S)$$ $$+$$ $$n(P)$$ – $$n(S$$ ∩ $$P)82$$ $$=$$ $$53$$ $$+$$ $$38$$ – $$n(S$$ ∩ $$P)$$⇒ $$n(S$$ ∩ $$P)$$ $$=$$ $$91$$ – $$82$$ $$=$$ $$9$$.

A boating club consists of $82$ members,
each member is either a sailboat owner or a powerboat
owner. If $53$ members owned sailboats and $38$ members
owned powerboats, the number of members owned both
sailboat and powerboat is

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A boating club consists of 82 members,each member is either a sailboat owner or a powerboatowner. If 53 members owned sailboats and 38 membersowned powerboats, the number of members owned bothsailboat and powerboat is

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free study material

A boating club consists of $82$ members,
each member is either a sailboat owner or a powerboat
owner. If $53$ members owned sailboats and $38$ members
owned powerboats, the number of members owned both
sailboat and powerboat is