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Write down all possible subsets of each of the sets given below :
`phi `

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To find all possible subsets of the empty set (denoted as φ), we can follow these steps: ### Step 1: Understand the Definition of a Subset A subset is a set that contains some or all elements of another set. The empty set is a special case because it has no elements. ### Step 2: Determine the Number of Elements in the Empty Set The empty set (φ) has no elements. Therefore, the number of elements (n) in the empty set is 0. ### Step 3: Use the Formula for the Number of Subsets The number of subsets of a set is given by the formula 2^n, where n is the number of elements in the set. Since n = 0 for the empty set, we calculate: \[ 2^0 = 1 \] ### Step 4: List the Subsets Since there is only one subset when n = 0, the only subset of the empty set is the empty set itself (φ). ### Final Answer The only subset of the empty set φ is: - {φ}
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ICSE-SETS -EXERCISE 6 B
  1. Write down all possible subsets of each of the sets given below : ...

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  2. Write down all possible subsets of each of the sets given below : ...

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  3. Write down all possible subsets of each of the sets given below : ...

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  4. Write down all possible subsets of each of the sets given below : ...

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  5. Write down all possible subsets of each of the sets given below : ...

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  6. Write down all possible proper subsets of each of the sets given below...

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  7. Write down all possible proper subsets of each of the sets given below...

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  8. Write down all possible proper subsets of each of the sets given below...

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  9. Write down all possible proper subsets of each of the sets given below...

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  10. Write down : The sets C of letters of the word ' PAPAYA '

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  11. Write down : All subsets of C , C={P,A,Y}

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  12. The set C is letters of the word, PAPAYA Write down : All proper...

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  13. How many subsets in all are there of a set containing 4 elements ?

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  14. How many subsets in all are there of a set with cardinal number 6?

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  15. How many proper subsets in all are there of a set containing 3 element...

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  16. How many proper subsets in all are there of a set with cardrinal numbe...

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  17. Which of the following statements are true ? { a} sub {a,b,c,}

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  18. Which of the following statements are true ? {a} sub {b,c,d,e}

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  19. Which of the following statements are true ? phi sub {a,b,c}

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  20. Which of the following statements are true ? phi in {a,b,c}

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