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How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

Question

How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper? 

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Step 1

Let the given set is A, having elements as

A-1,2,3,4,5,6,7,8,9,10
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A-1,2,3,4,5,6,7,8,9,10

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Step 2

Since the assumed set A has 10 elements namely {1,2,3,4,5,6,7,8,9,10}.

Therefore, the total number of subsets of set A=2n

Where, n=Total number of elements of set A

. Total no. of subsets of set A-2"
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. Total no. of subsets of set A-2"

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Step 3

Since, for set A the total number of elements is equal to 10.

i.e. n=10

So, Total number of sub...

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Tagged in

Math

Algebra

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