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31 Jul 2023, 08:11
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (00:53) correct
37%
(00:46)
wrong
based on 186
sessions
History
Date
Time
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Not Attempted Yet
How many subsets containing 2 and 4 does {1, 2, 3, 4} have?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
31 Jul 2023, 08:40
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Bunuel
If a set contains n items, then the number of its subsets can be determined with the formula 2^n.
Since, according to the question stem, 2 and 4 are already decided to be contained in the subset, we have only as many ways to change the composition of the selected subset as the number of subsets of the set {1, 3}.
Therefore, the answer is 2^2 = 4.
Answer: E
31 Jul 2023, 08:43
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The possible subsets can be easily counted.
Since 2 and 4 have to be present the subsets are
{2,4}
{1,2,4}
{2,4,3}
{1,2,3,4}
Total 4 subsets.
Answer E
Since 2 and 4 have to be present the subsets are
{2,4}
{1,2,4}
{2,4,3}
{1,2,3,4}
Total 4 subsets.
Answer E
