Question

if n(a)=10 and n(b)=15 then the minimum and maximum number of elements in a intersection b is

Answer 1

The minimum intersection of a and b will be 0 and the maximum intersection of a and b will be 10.

• The intersection of two sets simply means the number of common elements present there. In this question number of elements in a is 10 and the number of elements in b is 15.
• Now, the minimum intersection could be that there would be no common element in both the sets, so the minimum intersection would be 0.

• The maximum intersection could be that the set with a lower number of elements than the other will become a subset of others and hence the maximum intersection would be 10.

Answer 2

Given; n(a)=10 and n(b)=15

To Find;n(a)=10 and n(b)=15 then the minimum and maximum number of elements in an intersection b

Solution;

Number of elements in a= 10

Number of elements in b= 15

The minimum number of elements in the intersection b should be zero and the maximum number of elements in common is 10

Hence the answer are 0 and 10 respectively