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Q.

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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a

6

b

7

c

9

d

4

answer is C.

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Detailed Solution

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.
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