Question

Number of proper subsets of a set containing 4 elements is .................​

Answer 1

Answer:

Including all four elements, there are 24 = 16 subsets. 15 of those subsets are proper, 1 subset, namely {a,b,c,d}, is not. In general, if you have n elements in your set, then there are 2n subsets and 2n − 1 proper subsets.

Step-by-step explanation:

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Answer 2

Given,

Number of proper subsets of a set containing $\[4\]$ elements is______.

Solution,

Formula used, The number of proper subset of a set containing n element is $\[{2^n}.\]$

Therefore, the number of proper subsets of a set containing $\[4\]$ elements is

$\[\begin{array}{l} \Rightarrow {2^4}\\ \Rightarrow 16\end{array}\]$

Hence,the number of proper subsets of a set containing$\[4\]$ elements is $\[16.\]$