How many meaningful four-letter English words can be formed using the 1st, 3rd, 5th and 6th letters of the word “TEACHER”, using each letter only once in each word?

The correct answer is Option 2 (2).

Let's break down the solution step-by-step:

Step 1: Identify the specified letters from the word "TEACHER"

The given word is TEACHER.

Let's list the positions of each letter in the word:

1st letter = T
2nd letter = E
3rd letter = A
4th letter = C
5th letter = H
6th letter = E
7th letter = R

The letters selected based on the specified positions (1st, 3rd, 5th, and 6th) are: T, A, H, E.

Step 2: Form meaningful four-letter English words

We need to form meaningful English words using the set of letters {T, A, H, E}, with each letter used exactly once in each word.

Let's check the valid combinations:

1. HEAT - a valid English word meaning high temperature or warmth.
2. HATE - a valid English word meaning intense dislike.

No other meaningful four-letter English words can be formed using these four letters.

Therefore, a total of 2 meaningful words can be formed.