A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?

Assessment: WAEC SSCE - General Mathematics - 1997 (Objective) Subject: General Mathematics

Question 1 Report

A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
Answer Details
To find the number of elements in the intersection of A and B, we can use the formula: |A ∪ B| = |A| + |B| - |A ∩ B| We are given |A ∪ B| = 49, |A| = 22, and |B| = 34. Substituting these values into the formula gives: 49 = 22 + 34 - |A ∩ B| Simplifying, we get: |A ∩ B| = 22 + 34 - 49 = 7 Therefore, there are 7 elements in the intersection of A and B. The correct answer is 7.

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