Set Theory and Algebra MCQ

1:

 Let S be an infinite set and S1, S2, S3, ..., Sn be sets such that S1 ∪S2 ∪S3∪ .......Sn = S then

A.

atleast one of the sets Si is a finite set

B.

not more than one of the set Si can be inite

C.

atleast one of the sets Si is an ininite set

D.

none of these

 

Answer : C

Explanation :

Sakthivel said: (9:13am on Friday 19th May 2017)
Why can't we say that option a. Its also correct.

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Option: A

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