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The problem asks:

- How many words can be formed from the letters of the word "SUNDAY"?
- How many of these words begin with "S"?

### Step 1: Total number of arrangements of "SUNDAY"
"SUNDAY" consists of 6 distinct letters. The total number of possible arrangements of these letters can be calculated as the factorial of the number of letters:

\[
\text{Total arrangements} = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720
\]

### Step 2: Number of words beginning with "S"
If the first letter must be "S", we now arrange the remaining 5 letters ("U", "N", "D", "A", "Y"). The number of arrangements of these 5 letters is:

\[
\text{Arrangements with S fixed} = 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
\]

### Conclusion:
- Total number of words formed: **720**
- Number of words beginning with "S": **120**

Would you like further details or clarifications?

Here are 5 related questions:
1. How many distinct arrangements can be made from the word "SUCCESS"?
2. How would the total change if some letters in "SUNDAY" were repeated?
3. What if the word was "HOLIDAY"? How many words could be formed?
4. How many arrangements of "SUNDAY" end with the letter "Y"?
5. How can we calculate the number of palindromes from "SUNDAY"?

**Tip:** When working with letters and word arrangements, factorials are a key tool in counting distinct possibilities.

How many words can be formed from the letters of the word 'SUNDAY'? How many of these began with 'S'?

Learn how to calculate the total number of words that can be formed from the letters of 'SUNDAY'. Understand how many words begin with 'S' using basic permutation and factorial concepts. Suitable for middle school students.

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