# Python: Intersection of sets

## Python sets: Exercise-6 with Solution

Write a Python program to create an intersection of sets.

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).

In set-builder notation, A ∩ B = {x ∈ U : x ∈ A and x ∈ B}.

The Venn diagram for A ∩ B is shown to the right where the shaded region represents the set A ∩ B.

Example: Let A = {a, b, c, d} and B = {b, d, e}. Then A ∩ B = {b, d}. The elements b and d are the only elements that are in both sets A and B.

**Sample Solution-1:**

Python Code:

```
setx = set(["green", "blue"])
sety = set(["blue", "yellow"])
print("Original set elements:")
print(setx)
print(sety)
print("\nIntersection of two said sets:")
setz = setx & sety
print(setz)
```

Sample Output:

Original set elements: {'green', 'blue'} {'blue', 'yellow'} Intersection of two said sets: {'blue'}

**Pictorial Presentation:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Sample Solution-2:**

Python Code:

```
def intersection_of_sets(sc1, sc2):
result = []
for i in sc1:
if i in sc2:
result.append(i)
return result
sc1 = {"green", "blue"}
sc2 = {"blue", "yellow"}
print("Original set elements:")
print(sc1)
print(sc2)
print("\nIntersection of two said sets:")
print(intersection_of_sets(sc1, sc2))
```

Sample Output:

Original set elements: {'green', 'blue'} {'yellow', 'blue'} Intersection of two said sets: ['blue']

**Flowchart:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Sample Solution-3:**

Python Code:

```
setx = set(["green", "blue"])
sety = set(["blue", "yellow"])
print("Original set elements:")
print(setx)
print(sety)
print("\nIntersection of two said sets:")
result = setx.intersection(sety)
print(result)
```

Sample Output:

Original set elements: {'green', 'blue'} {'yellow', 'blue'} Intersection of two said sets: ['blue']

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Python Code Editor:**

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**Previous:** Write a Python program to remove an item from a set if it is present in the set.

**Next:** Write a Python program to create a union of sets.

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## Python: Tips of the Day

**Trenary operator:**

>>> "Python ROCK" if True else " I AM GRUMPY" "Python ROCK"

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