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If p(n) is the set of first n prime numb...

If `p_(n)` is the set of first n prime numbers, then `underset(n=2)overset(10)(U)P_(n)=`

A

{2,3,5,7,11,13,17,19}

B

{3,5}

C

{2,3,5,7,11,13,17,19,23,29}

D

{2,3}

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Recall the definition of union of sets and subsets
(ii) If `AsubB`, then `AcupB=B`.
(iii) `underset(n=2)overset(10)(U)P_(n)=P_(2)cupP_(3)cup. . . .cupP_(10)=P_(10)`.
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