Intersection of Two Sets Calculator

Formula

The formula to calculate the number of elements in the intersection of two sets \(A\) and \(B\) is:

\[ n(A \cap B) = n(A) + n(B) - n(A \cup B) \]

Where:

Let's assume the following values:

Using the formula:

\[ n(A \cap B) = 10 + 15 - 19 \]

Evaluating:

\[ n(A \cap B) = 6 \]

The number of elements in the intersection of Sets A and B is 6.

Number of Elements in Set A	Number of Elements in Set B	Number of Elements in Union of A and B	Number of Elements in Intersection of A and B
8	13	18	3.00
8	13	19	2.00
8	13	20	1.00
8	13	21	0.00
8	13	22	-1.00
8	14	18	4.00
8	14	19	3.00
8	14	20	2.00
8	14	21	1.00
8	14	22	0.00
8	15	18	5.00
8	15	19	4.00
8	15	20	3.00
8	15	21	2.00
8	15	22	1.00
8	16	18	6.00
8	16	19	5.00
8	16	20	4.00
8	16	21	3.00
8	16	22	2.00
8	17	18	7.00
8	17	19	6.00
8	17	20	5.00
8	17	21	4.00
8	17	22	3.00
9	13	18	4.00
9	13	19	3.00
9	13	20	2.00
9	13	21	1.00
9	13	22	0.00
9	14	18	5.00
9	14	19	4.00
9	14	20	3.00
9	14	21	2.00
9	14	22	1.00
9	15	18	6.00
9	15	19	5.00
9	15	20	4.00
9	15	21	3.00
9	15	22	2.00
9	16	18	7.00
9	16	19	6.00
9	16	20	5.00
9	16	21	4.00
9	16	22	3.00
9	17	18	8.00
9	17	19	7.00
9	17	20	6.00
9	17	21	5.00
9	17	22	4.00
10	13	18	5.00
10	13	19	4.00
10	13	20	3.00
10	13	21	2.00
10	13	22	1.00
10	14	18	6.00
10	14	19	5.00
10	14	20	4.00
10	14	21	3.00
10	14	22	2.00
10	15	18	7.00
10	15	19	6.00
10	15	20	5.00
10	15	21	4.00
10	15	22	3.00
10	16	18	8.00
10	16	19	7.00
10	16	20	6.00
10	16	21	5.00
10	16	22	4.00
10	17	18	9.00
10	17	19	8.00
10	17	20	7.00
10	17	21	6.00
10	17	22	5.00
11	13	18	6.00
11	13	19	5.00
11	13	20	4.00
11	13	21	3.00
11	13	22	2.00
11	14	18	7.00
11	14	19	6.00
11	14	20	5.00
11	14	21	4.00
11	14	22	3.00
11	15	18	8.00
11	15	19	7.00
11	15	20	6.00
11	15	21	5.00
11	15	22	4.00
11	16	18	9.00
11	16	19	8.00
11	16	20	7.00
11	16	21	6.00
11	16	22	5.00
11	17	18	10.00
11	17	19	9.00
11	17	20	8.00
11	17	21	7.00
11	17	22	6.00
12	13	18	7.00
12	13	19	6.00
12	13	20	5.00
12	13	21	4.00
12	13	22	3.00
12	14	18	8.00
12	14	19	7.00
12	14	20	6.00
12	14	21	5.00
12	14	22	4.00
12	15	18	9.00
12	15	19	8.00
12	15	20	7.00
12	15	21	6.00
12	15	22	5.00
12	16	18	10.00
12	16	19	9.00
12	16	20	8.00
12	16	21	7.00
12	16	22	6.00
12	17	18	11.00
12	17	19	10.00
12	17	20	9.00
12	17	21	8.00
12	17	22	7.00