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What is the total number of proper subsets of a set consisting of n elements?

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प्रश्न

What is the total number of proper subsets of a set consisting of n elements? 

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उत्तर

We know that the total number of subsets of a finite set consisting of n elements is 2n. 
Therefore, the total number of proper subsets of a set consisting of n elements is 2n \[-\]1.

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अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 11 | पृष्ठ १७

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