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## #1 2008-11-24 18:05:06

ganesh
Registered: 2005-06-28
Posts: 25,023

### Matriculation Level Mathematics - Set Theory

1. Given A={0,1,3,5}, B={1,2,4,7}, C={1,2,3,5,8}, prove that

a)

b)

c)

2.If A = {1,2,3}, B={1,3,5}, C={2,3,4,6}, find

a)

b)

c)

d)

e)

.

3. Write down all the sub-sets of A={a,b,c,d}

4.Wrtie down the following sets in set-builder form:

a) The set A of all months in a year.

b) The set B of all English alphabets

c) C = {3, 6, 9, ............}

d) D = {1, 3, 5, ............}

5. Given U={1,2,3,4,5,6,7}, A={1,2,3,4,5}, B={1,3,5,7},
C={2,5,6,7}, find

a) C - B

b)

6.If U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,5,6,7,9}, B={2,4,5,6,8,10},
prove that

a)

b)

7. Let A = {a,b,c} and B = {1,2}, find

and
and show that
.

8. Let A = {1,2,3,4,5}, B = {3,4,5,6,7}, C = {1,3,5,6,7,8}
show that

a)

b)

9. In a city, three daily newspapers A, B, and C are published.42% of the people in that city read A, 51% read B, 68% read C, 30% read both A and B, 28% read both B and C and 36% read both A and C. 8% of the people do not read any of the three newspapers. Find the percentage pf persons who read all the three news papers.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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