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How many proper subsets do the set I4 metric units of length, have? L={mm, cm, m, km}. Select the correct answer below:(a)10(b)4(c)20(d)15

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Answer:

(D)15

Step-by-step explanation:

Given a set A, a proper subset of A is any subset of A that is not equal to A.

If a set has n elements, the total number of subsets of the set will be:


2^n

In the given set:


\begin{gathered} L=\left\{ \operatorname{mm},cm,m,\operatorname{km}\right\} \\ n=4 \\ \text{Number of Subsets=}2^4=16 \end{gathered}

Therefore, the number of proper subsets of the given set will be:


\begin{gathered} =16-1 \\ =15 \end{gathered}

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