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If A is any non-empty set, with 3 elemen...

If A is any non-empty set, with 3 elements then number of subsets of A are

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To find the number of subsets of a non-empty set \( A \) with 3 elements, we can follow these steps: ### Step 1: Identify the number of elements in the set Given that set \( A \) has 3 elements, we denote this as: \[ n = 3 \] ### Step 2: Use the formula for the number of subsets The formula to calculate the number of subsets of a set is: \[ \text{Number of subsets} = 2^n \] where \( n \) is the number of elements in the set. ### Step 3: Substitute the value of \( n \) into the formula Now, substituting the value of \( n \) into the formula: \[ \text{Number of subsets} = 2^3 \] ### Step 4: Calculate \( 2^3 \) Calculating \( 2^3 \): \[ 2^3 = 2 \times 2 \times 2 = 8 \] ### Final Answer Thus, the number of subsets of set \( A \) is: \[ \text{Number of subsets} = 8 \] ---
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PEARSON IIT JEE FOUNDATION-SETS-TEST YOUR CONCEPTS (Very Short Answer Type Questions)
  1. If A and B are non-empty sets, A nn B = B and A uu B = B, then A and ...

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  2. If n(A xx B) = 15, then the maximum possiblity of n(B) is 3. (True/Fal...

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  3. If A is any non-empty set, with 3 elements then number of subsets of A...

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  4. If X={S,T,U,V} and Y = {s,t,u,v}, then P and Q are sets. (equal/equiv...

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  5. If PsubeQ and QsubeP, then .

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  6. If A and B are two non-empty sets, then n(A xxB) can be 17. (True/Fal...

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  7. If A and B are disjoint sets, then draw their venn diagram

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  8. If A and B are two non-empty sets and A - B is a null set, then "".

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  9. If n (A Delta B) = 12 and n(A nn B) = 3, then find the greatest possib...

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  10. If A = {1,2}, B = {1,2,3} and c = {1,2,3,4,5} then the relation betwee...

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  11. If B is contained in A and C is contained in B, then relation between ...

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  12. If A={1,2,3,4,5, 6} and B = {4,1}, then find (AuuB)-(AnnB).

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  13. If (2x+3,4y-3) = (9,13) then find x + y.

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  14. If n(A) = 12 and n(B) = 20, then find n(A DeltaB) when (i) A and B ar...

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  15. If n(A) = 12 and n(B) = 20, then find n(A DeltaB) when (i) A and B ar...

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  16. Draw overlapping sets and shade the following. (i) A nn (B uu C).

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  17. In the above Venn diagram, (AnnC)uu(BnnC)=

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  18. The dual statement of A - (B uu C) = (A - B) nn (A - C) is "".

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  19. If A = {Student in VIII class of age 13 years} and B = {Students in IX...

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  20. If A= {composite numbers}, B = {prime numbers} and C = {even numbers},...

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