Question

If n(A) = 10 and n(B) = 15, then the minimum and
maximum number of elements in A ∩ B is
(a) (10,15) (b) (15,10) (c) (10,0) (d) (0,10)

Answer 1

Answer:

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Answer 2

Answer:

the minimum and maximum number of elements in A ∩ B = (0 , 10)

Step-by-step explanation:

n(A) = 10 and n(B) = 15

no other information is given

so minimum number of elements in  A ∩ B   = 0

As it is possible that no element is common in A & B

And maximum number of Elements  in A ∩ B   = 10

as in B there are 10 Elements & B can be subset of A

the minimum and maximum number of elements in A ∩ B = (0 , 10)