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Q.

For any finite set  S , let n(S)  denote the number of elements in  S,  suppose A and B are two subset of {1, 2, 3, 4, 5} that satisfy n(A).n(B)=n(AB).n(AB)  and P(E)  is the probability of occurrence of event E, then (where  n(A)  is number of elements in the set A)

 List- I  List – II
A)P(n(A)>n(B))P)32211
B)P(n(A)n(B))Q)211454
C)P((n(A)=n(B))P(n(A)n(B)))R)32454
D)P(n(A)=n(B))S)243454
  T)32243

 

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a

AT, BR, CP, DQ

b

AQ, BT, CP, DR

c

AQ, BS, CT, DR

d

A P, BS, CT, DQ

answer is B.

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Detailed Solution

n(A)>n(B) Total number of cases 211n(A)=n(B) Total number of 32 cases

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For any finite set  S , let n(S)  denote the number of elements in  S,  suppose A and B are two subset of {1, 2, 3, 4, 5} that satisfy n(A).n(B)=n(A∩B).n(A∪B)  and P(E)  is the probability of occurrence of event E, then (where  n(A)  is number of elements in the set A) List- I  List – IIA)P(n(A)>n(B))P)32211B)P(n(A)≤n(B))Q)211454C)P((n(A)=n(B))P(n(A)≥n(B)))R)32454D)P(n(A)=n(B))S)243454  T)32243