Question

If C and D are subsets of a universal set having 15 elements. If C has 3 elements, D has 5 element, and C n D has 2 elements. Then, how many elements C U D consist of?​

Answer 1

We can use the formula for the union of two sets:

|C U D| = |C| + |D| - |C n D|

where |C| means the number of elements in set C, and so on.

We are given that |C| = 3, |D| = 5, and |C n D| = 2. Substituting these values, we get:

|C U D| = 3 + 5 - 2 = 6

Therefore, the set C U D consists of 6 elements.