Q3. How many subsets a set has containing 5 elements.
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Q3. How many subsets a set has containing 5 elements.
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Answer:
Hey mate here is your answer.
All sets are proper subsets except the set that contains all of the elements. The number of subsets is always 2^n where n is the number of elements in the set; in this case 5. There should be 2^5=32 subsets including the empty set and the set itself.
There are 32 subsets of a set containing 5 elements.
Given :
A set containing 5 elements.
To find :
The number of subsets
Solution :
Step 1 of 2 :
Write down the number of elements
Here it is given that the set contains 5 elements.
Step 2 of 2 :
Find number of subsets
We know that if a set A contains n elements then the number of subsets of A [tex] \sf = {2}^{n} [/tex]
Since the set contains 5 elements
So n = 5
Hence the number of subsets
[tex] \sf = {2}^{5} [/tex]
[tex] \sf =32[/tex]
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