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For all p, such that 1leple100,n(A(p))=p...

For all p, such that `1leple100,n(A_(p))=p+1` and `A_(1)subA_(2)sub. . .. .subA_(100)`. Then `underset(p=1)overset(100)(U)A_(p)` contains. _______elements

A

99

B

100

C

101

D

102

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Recall the definition of union of sets and subsets. (ii) If `AsubB`, then `A cupB=B`.
(iii) `underset(n=1)overset(100)(U)A_(n)=A_(100)`.
(iv) Now evalute `n(A_(100))` by using the given condition.
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