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No of words formed from the letters of t...

No of words formed from the letters of the word 'SUNDAY' starting with 'S' are:

A

720

B

600

C

240

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of words that can be formed from the letters of the word "SUNDAY" starting with 'S', we can follow these steps: ### Step 1: Identify the total letters in "SUNDAY" The word "SUNDAY" consists of 6 letters: S, U, N, D, A, Y. **Hint:** Count the letters in the word to determine how many letters you have to work with. ### Step 2: Fix the first letter Since we want the words to start with 'S', we fix 'S' as the first letter. This leaves us with the remaining letters: U, N, D, A, Y. **Hint:** When a letter is fixed at a certain position, the remaining letters can be rearranged. ### Step 3: Count the remaining letters After fixing 'S', we have 5 letters left: U, N, D, A, Y. **Hint:** Always remember to count how many letters remain after fixing one. ### Step 4: Calculate the arrangements of the remaining letters The number of ways to arrange the 5 remaining letters (U, N, D, A, Y) is given by the factorial of the number of letters. Therefore, we calculate 5! (5 factorial). 5! = 5 × 4 × 3 × 2 × 1 = 120 **Hint:** Factorial notation (n!) represents the product of all positive integers up to n. ### Step 5: Conclusion Thus, the total number of words that can be formed from the letters of the word "SUNDAY" starting with 'S' is 120. **Final Answer:** 120 ---
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