Set Equality

Probability Level 1

Which two sets are equivalent?

A = { 1 , 3 , 5 , 7 , 9 } A = \{1,3,5,7,9\}

B = { 1 , 2 , 3 , 4 , 5 , 6 } B = \{1,2,3,4,5,6\}

C = { 1 , 2 , 3 , 4 , 5 } C = \{1,2,3,4,5\}

D = { 5 , 4 , 2 , 6 , 1 , 3 } D = \{5,4,2,6,1,3\}

E = { 4 , 1 , 5 , 2 , 3 , 7 } E = \{4,1,5,2,3,7\}

A and C B and A B and D C and B D and E E and A None are equivalent

Karleigh Moore by Karleigh Moore , 27, USA

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1 solution

Karleigh Moore
Jun 5, 2016

B and D have all the same elements. None of the other sets have all of the same elements as any other set. The elements in B and D are in a different order, however, in sets, order does not matter.

5 Helpful 1 Interesting 0 Brilliant 1 Confused

Equal sets have the exact same elements in them, even though they could be out of order. Equivalent sets have different elements but have the same amount of elements. ... A set's cardinality is the number of elements in the set. Therefore, if two sets have the same cardinality, they are equivalent! So. here multiple options maybe right, isn't it?

Aniruddha Bagchi - 2 years, 2 months ago

1 pending report

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