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If a set A has 3 elements and B has 6 elements such that A⊆BIf a set A has 3 elements and B has 6 elements such that A⊆Bthen the number of elements in A∩B=?

Question

If a set A has 3 elements and B has 6 elements such that A⊆BIf a set A has 3 elements and B has 6 elements such that A⊆Bthen the number of elements in A∩B=?

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Solution

Sure, let's solve the problem step by step.

Step 1: Given that set A has 3 elements and set B has 6 elements, and A is a subset of B.

Step 2: To find the number of elements in the intersection of A and B (A∩B), we need to determine the common elements between the two sets.

Step 3: Since A is a subset of B, all the elements in A must also be present in B. Therefore, the number of elements in A∩B is equal to the number of elements in A, which is 3.

So, the number of elements in A∩B is 3.

This problem has been solved

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