Question

if n(a)=7 and n(b)=5 then the maximum number of elements in (a ∩ b) is​

Answer 1

Answer:

If n(a)=7 and n(b)=5 then the maximum number of elements in (a ∩ b) is

Answer 2

Therefore the value of the maximum value of n(A∩B) is 5.

Given:

The number of elements in set A = n(A) = 7

The number of elements in set B = n(B) = 5

To Find:

The maximum number of elements in n(A∩B)

Solution:

The given question can be solved very easily as shown below.

Given that,

The number of elements in set A = n(A) = 7

The number of elements in set B = n(B) = 5

We know that intersection means the common elements in both sets given.

So the maximum intersection of both the elements can be the number of elements in the set that contains less number of elements.

In the given question, B set has less number of elements so maybe all 5 elements are present in set A so that maximum value is possible.

Hence the maximum value of n(A∩B) = 5

Therefore the value of the maximum value of n(A∩B) is 5.

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