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Cardinality

If A=1, 2, ...

Question

If $A = {1, 2, 3, 4}$ , then the number of subsets of $A$ that contain the element $2$ but not $3$ , is

16

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4

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8

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24

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Solution

The correct option is B $4$
The subsets are be ${1, 2, 4}, {1, 2}, {2, 4}, {2}$
Number of subsets of $A$ that contain the element $2$ but not $3$ is $4$

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