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Question

If $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 close curly brackets comma$ then the number of subsets of $A$ that contain the element 2 but not 3, is

16
4
8
24

The correct answer is: 4

Required number of subsets is equal to the number of subsets containing 2 and any number of elements from the remaining elements 1 and 4
So, required number of elements $equals 2 to the power of 2 end exponent equals 4$

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