Question

Q.2. If U={ 0,1,2,3.....10), A= {1,2,3,4....8} B= {2,4,6,8,10}
Prove the following and also write the property of each of the following
except (a):
,C={2,3,5,7,11)
(10)
a)
AAB=(AUB)-(ANB)
b)
A’UB'=(ANB)'
c)
AU(BOC)=(AUB)N(AUC)
d)
An(BUC)=(ANB)U(ANC)
e)
AnC=CNA
​

Answer 1

Answer:

Number of elements in A=10

Number of subsets of A containing exactly two elements

= Number of ways we can select 2 elements from 10 elements

10

C

2

=

2

10×9

=45

∴ Number of subsets of A containing exactly two elements =45

Step-by-step explanation:

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