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How many meaningful words can be made from the letters 'LMEA' using each letter only once in each word?
  • a)
    None
  • b)
    One
  • c)
    Two
  • d)
    Three
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many meaningful words can be made from the letters 'LMEA' using ea...
The words formed are:
(1) MALE
(2) MEAL
(3) LAME
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Most Upvoted Answer
How many meaningful words can be made from the letters 'LMEA' using ea...
To find the number of meaningful words that can be made from the letters 'LMEA' using each letter only once in each word, we need to analyze the given letters and their possible combinations.

Analysis:
The given letters are 'LMEA'.

Step 1: Permutations
First, we need to find the number of permutations of the given letters. Since each letter can only be used once, the number of permutations can be calculated using the formula for permutations of distinct objects:
nPr = n! / (n - r)!

Here, n is the total number of objects (4 letters) and r is the number of objects taken at a time (also 4 letters).

So, the number of permutations = 4! / (4 - 4)!
= 4! / 0!
= 4!

Step 2: Meaningful Words
Now, we need to determine how many of these permutations form meaningful words.

Word 1: LAME
One possible meaningful word that can be formed using the given letters is 'LAME'.

Word 2: MEAL
Another meaningful word that can be formed is 'MEAL'.

Word 3: MALE
The third possible meaningful word is 'MALE'.

Therefore, three meaningful words can be made from the letters 'LMEA' using each letter only once in each word.

Therefore, the correct answer is option 'D' - Three.
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How many meaningful words can be made from the letters 'LMEA' using each letter only once in each word?a) None b) One c) Two d) Three Correct answer is option 'D'. Can you explain this answer?
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