Find all the subsets of each of the following sets -i A - 5-7 iiB- a-b-c iiiC- x-x - W- x - 2iv p-p is a letter in the word -poor-

(i) A = { 5,7 } Subsets of set A = {}, { 5 nbsp;},{ 7 },{ 5,7 } (ii) B = { a,b,c } Subsets of set B = {},{ a },{ b },{ c },{ a,b },{ a,c },{ b,c },{ a,b,c }A ...

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Standard VIII

Mathematics

Subset

Find all the ...

Question

Find all the subsets of each of the following sets :

(i) A = ${5, 7}$

(ii)B= ${a, b, c}$

(iii)C= ${x : x \in W, x \leq 2}$

(iv){ p:p is a letter in the word 'poor' }

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Solution

(i) A = ${5, 7}$ Subsets of set A = ${}$ , ${5}$ , ${7}$ , ${5, 7}$

(ii) B = ${a, b, c}$ Subsets of set B = ${}$ , ${a}$ , ${b}$ , ${c}$ , ${a, b}$ , ${a, c}$ , ${b, c}$ , ${a, b, c}$ Ans.

(iii) C= ${x : x \in W, x \leq 2}$ = ${0, 1, 2}$ $∴$ Subsets of set C = $ϕ$ , ${0}$ , ${1}$ , ${2}$ , ${0, 1}$ , ${0, 2}$ , ${1, 2}$ , ${0, 1, 2}$ Ans.

(iv) ${p:p is a letter in the word 'POOR'}$ = ${p:p is a letter in the word 'p,o,r'}$

$∴$ Subsets of the given set = $ϕ$ , ${p}$ , ${o}$ , ${r}$ , ${p, o}$ , ${p, r}$ , ${o, r}$ , ${p, o, r}$

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Find all the subsets of each of the following sets : (i) A = {5,7} (ii)B= {a,b,c} (iii)C= {x:x∈W,x≤2} (iv){ p:p is a letter in the word 'poor' }

Find all the subsets of each of the following sets :

(i) A = ${5, 7}$

(ii)B= ${a, b, c}$

(iii)C= ${x : x \in W, x \leq 2}$

(iv){ p:p is a letter in the word 'poor' }