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How many meaningful English words can be formed using the letters T, A, and E, without repetition?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
How many meaningful English words can be formed using the letters T, A...
By using the letters T, A, and E, three meaningful words can be formed: TEA, EAT, and ATE.
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How many meaningful English words can be formed using the letters T, A...
Words can be formed by rearranging the letters T, A, and E without repetition. To find the number of meaningful English words that can be formed, we can use the concept of permutations.

Permutations are arrangements of objects in a particular order. In this case, we have 3 letters (T, A, E) that can be arranged in different orders to form words.

To find the number of permutations, we use the formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects taken at a time.

In this case, we have 3 letters (T, A, E) and we want to form words without repetition. Therefore, we need to find the number of permutations of 3 letters taken 3 at a time.

Using the formula, we have:

3P3 = 3! / (3 - 3)!
= 3! / 0!
= 3! / 1
= 3 x 2 x 1 / 1
= 6 / 1
= 6

Therefore, there are 6 different permutations of the letters T, A, and E taken 3 at a time.

However, not all of these permutations form meaningful English words. To determine the number of meaningful English words, we need to identify which permutations are valid words.

From the given letters T, A, and E, we can form the following meaningful English words:

1. TEA
2. EAT
3. ATE

Therefore, the correct answer is option C) 3 meaningful English words can be formed using the letters T, A, and E without repetition.
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