Step 1: Understanding the Question:
We need to extract specific letters from two given words and then determine how many meaningful English words can be formed using that set of letters.
Step 2: Detailed Explanation:
1. Extract letters from 'BURDEN':
- The 1st letter is B.
- The 5th letter is E.
2. Extract letters from 'ANATHEMA':
- The 2nd letter is N.
- The 8th letter is A.
3. Combine the letters:
The set of letters we have to work with is \{B, E, N, A\}.
4. Form meaningful words:
We need to find all possible meaningful English words that can be formed by rearranging these four letters. Let's try different arrangements (anagrams):
- BANE: A cause of great distress or annoyance. (This is a meaningful word).
- BEAN: An edible seed, typically kidney-shaped, growing in long pods. (This is a meaningful word).
- Other arrangements like NABE, BNAE, ABEN, etc., do not form common meaningful English words.
We have found two meaningful words that can be formed from the letters B, E, N, and A.
Step 3: Final Answer:
The number of meaningful words that can be formed is 2.