Which of the following are sets ?justify your answer.
1.The collection of all the months of a year beginning with letter M

Answer

To determine whether the collection of all the months of a year beginning with the letter "M" is a set, we can follow these steps:

### Step 1: Define the collection
The collection we are interested in is "the months of a year beginning with the letter M."

### Step 2: Identify the sample space
The sample space consists of all the months in a year:
- January
- February
- March
- April
- May
- June
- July
- August
- September
- October
- November
- December

### Step 3: Filter the months that start with "M"
Now we need to identify which of these months start with the letter "M":
- March
- May

### Step 4: Form the set
From the months identified in Step 3, we can form the set:
- Set = {March, May}

### Step 5: Justify that it is a set
A set is defined as a well-defined collection of distinct objects. In this case, the collection of months starting with "M" is well-defined because:
1. It contains specific elements (March and May).
2. Each element is distinct (no repetitions).
3. The criteria for membership (starting with "M") is clear.

### Conclusion
Therefore, the collection of all the months of a year beginning with the letter "M" is indeed a set, and it can be represented as:
- Set = {March, May}

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