Find the number of proper subsets of A -1-2-3-4-5-9-12-14A- -x- 1-x - 2-B- -x- 1 - x-2-C- None of theseD- -x- 1 - x - 2-

The correct option is B A = 1,2,3,4,5,9,12,14. Now, n(A) = 8. ∴ The number of subsets = 2^8 = 2^5 × 2^3 = 32 × 2 × 2 nbsp;× 2 = 256 The number of proper ...

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Standard IX

Mathematics

Subset

Find the numb...

Question

Find the number of proper subsets of A = {1,2,3,4,5,9,12,14}

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None of these

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Solution

The correct option is B

A = {1,2,3,4,5,9,12,14}. Now, n(A) = 8.

$∴$ The number of subsets

$= 2^{8} = 2^{5} \times 2^{3}$

$= 32 \times 2 \times 2 \times 2 = 256$

The number of proper subsets

$= 2^{8} - 1 = 256 - 1 = 255$

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Find the number of proper subsets of A = {1,2,3,4,5,9,12,14}

The correct option is B A = {1,2,3,4,5,9,12,14}. Now, n(A) = 8. ∴ The number of subsets =28=25×23 =32×2×2×2=256 The number of proper subsets =28−1=256−1=255

The correct option is B

A = {1,2,3,4,5,9,12,14}. Now, n(A) = 8.

$∴$ The number of subsets

$= 2^{8} = 2^{5} \times 2^{3}$

$= 32 \times 2 \times 2 \times 2 = 256$

The number of proper subsets

$= 2^{8} - 1 = 256 - 1 = 255$