निम्लिखित समुच्चय के सभी उपसमुच्चयों को लिखें।
`(i) phi " " (ii) {a,b} " " (iii) {1,2,3}`
(iv) `{a,b,c,d} " " (v) {{phi}}`

Write down the power set of the following sets. (i) A={a,b} (ii) B={1,2,3} (iii) D={p,q,r,s} (iv) E=phi

Write down all the subsets of the following sets : (i) {a} (b) {a, b} (c) {1,2,3} (d) phi

Write down all the subsets of the following sets : (i) {a} (b) {a, b} (c) {1,2,3} (d) phi

Write down all the subsets of the following sets : (i) {a} (b) {a, b} (c) {1,2,3} (d) phi

If A sub U , prove that : (i) U' =phi (ii) phi' =U (iii) (A')' =A (iv) A cup A' =U (v) A cap A' =phi

Write down all subsets of each of the following sets: (i) A= {a} (ii) B={a,b} (iii) C={-2,3} (iv)D={-1,0,1} (v)E=phi (vi) F={2,{3}} (vii) G={3,4,{5,6}}

Match Column - I with Column - II and select the CORRECT option form the codes given below (a) A - (iv) , B - (ii) , C - (i) , D - (iii) (b) A - (iii) , B - (ii) , C - (i) , D - (iv) (c) A - (iv) , B - (iii) , C - (i) , D - (ii) (d) A - (i) , B - (ii) , C - (iii) , D - (iv)

Match the following and mark the correct option : a -v , b- iv , c - ii , d - iii , e - i a -ii , b- iv , c - v , d - iii , e - i a -ii , b- i , c - v , d - iv , e - iii a -v , b- iii , c - ii , d - iv , e - i

Prove that : (i) A sube B,B sube C rArrA sube C (ii) A sube phi, hArr A = phi

Prove that : (i) A sube B,B sube C rArrA sube C (ii) A sube phi, hArr A = phi