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If a = |1, 2, 3, 4, 5|, Then the Number of Proper Subsets of a is

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प्रश्न

If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is 

विकल्प

  • (a) 120

  • (b) 30 

  • (c) 31 

  • (d) 32 

MCQ
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उत्तर

(c) 31
The number of proper subsets of any set is given by the formula \[2^n - 1\] where n is the number of elements in the set.
Here,
n = 5
∴ Number of proper subsets of A =\[2^5 - 1 = 31\] 

 

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अध्याय 1: Sets - Exercise 1.10 [पृष्ठ ५०]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.10 | Q 14 | पृष्ठ ५०

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