Aspire Faculty ID #17437 · Topic: UGC NET Computer Science June 2024 (Paper II) · Just now
UGC NET Computer Science June 2024 (Paper II)

Arrange the following sets in increasing order, on the basis of their cardinality :

A. $A_1 = {{1,2},{3}}$
B. $A_2 = {{1},{2},{3},{4}}$
C. $A_3 = {{1,2,3,4,5,6}}$
D. $A_4 = {{1,2},{2,3,4},{5}}$
E. $A_5 = {{1},{2},{3},{4},{5}}$

Choose the correct answer from the options given below :

Solution

Cardinality means number of elements in the set.


$|A_1| = 2$

$|A_2| = 4$

$|A_3| = 1$

$|A_4| = 3$

$|A_5| = 5$


Increasing order:


$1 < 2 < 3 < 4 < 5$


So order becomes:


$A_3, A_1, A_4, A_2, A_5$

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