How many different 4-letter words (real or imaginary) can be formed using the letters of the word "READING", such that no letter is repeated?
To find the number of different 4-letter words that can be formed from the word "READING" without repeating letters, follow these steps:
Step 1: Choose 4 letters out of the 7 distinct letters in "READING".
The number of ways to choose 4 letters from 7 is given by the combination formula:
C(7,4) = (7!) / (4!(7-4)!) = (7 × 6 × 5 × 4) / (4 × 3 × 2 × 1) = 35
Step 2: Arrange the 4 chosen letters.
Once 4 letters are chosen, they can be arranged in 4! (4 factorial) ways:
4! = 4 × 3 × 2 × 1 = 24
Step 3: Calculate the total number of words.
The total number of 4-letter words is the product of combinations and permutations:
Total = C(7,4) × 4! = 35 × 24 = 840
Final Answer: The total number of different 4-letter words that can be formed is:
840
.jpeg)
.jpeg)
.png)
 can be formed using the letters of the word READING, such that no letter is repeated?){kind=link}
0 Comments