Page 20 - Mathematics Class - XI

4. Take a set A which has four elements (say) a , a , a and a and take another set B , which has five
4
4
4
3
1
2
elements (say) b , b , b , b and b .
1 2 3 4 5
i.e., A = {a , a , a , a } and B = {b , b , b , b , b } ● b
4 1 2 3 4 4 1 2 3 4 5 a ● 1
1
a ● ● b 2
2 ● b
a ● ● b 3
3
a ● ● b 4
4 5
DEMONSTRATION A B
4 4
1. Represent all the possible correspondences of the elements of the set A to the elements of set B as shown
1
1
in Fig. (a).
a ● ● b
1 1
A 1 Fig. (a) B 1
2. Represent all the possible correspondences of the elements of set A to the elements of set B as shown in
Fig. (b). 2 2
● b
1
a ●
1
● b
2
a ●
2
● b
3
A B
2 Fig. (b) 2

3. Represent all the possible correspondences of the elements of set A to the elements of set B as shown in
3
3
Fig. (c).
a ● ● b 1
1
● b 2
a ●
2
● b 3
a ● ● b
3 4
A B
3 Fig. (c) 3

4. Represent all the possible correspondences of the elements of set A to the elements of set B as shown in
4
4
Fig. (d).
a ● ● b
1 1
● b
a ● 2
2
● b 3
a ● ● b 4
3
a ● ● b 5
4
A 4 Fig. (d) B 4

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