State in each case, whether the given statement is true or false :
[a,b,c,1,2,3} is not a set.

Answer

To determine whether the statement "[a, b, c, 1, 2, 3] is not a set" is true or false, we can follow these steps:

### Step 1: Understand what a set is
A set is defined as a collection of distinct objects, which can include numbers, letters, or any other elements. The elements in a set are usually listed within curly braces `{}`.

**Hint:** Remember that a set can contain different types of elements, including numbers and letters.

### Step 2: Analyze the given collection
The collection given is `[a, b, c, 1, 2, 3]`. This collection includes:
- Letters: a, b, c
- Numbers: 1, 2, 3

**Hint:** Identify the types of elements present in the collection.

### Step 3: Check the format of the collection
The collection is written in square brackets `[]`, but for it to be considered a set, it should be in curly braces `{}`. However, the elements themselves (a, b, c, 1, 2, 3) are valid elements of a set.

**Hint:** Pay attention to the notation used to represent the collection.

### Step 4: Determine if the statement is true or false
Since the elements a, b, c, 1, 2, and 3 can indeed form a set, the statement claiming that "[a, b, c, 1, 2, 3] is not a set" is false.

**Hint:** Compare the definition of a set with the elements provided to conclude.

### Final Conclusion
The statement "[a, b, c, 1, 2, 3] is not a set" is **false**.

**Final Answer:** False