Mathematics · Permutations and Combinations
JEE Main 2025 — 22 January, Morning Shift — Question 11
From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' M ', is :
- Option A:
14950
- Option B:
6084
- Option C:
4356
- Option D:Correct
5148
Answer: D
Step-by-step solution
We need 5 letters with M as the middle (third) when sorted alphabetically. Choose 2 letters from the 12 before M (A to L): ways. Choose 2 letters from the 13 after M (N to Z): ways. Since the letters are arranged in alphabetical order once chosen, the total number of ways is . Hence the answer is D.
Answer key and solution verified before publishing.
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- Exam
- JEE Main 2025
- Subject
- Mathematics
- Chapter
- Permutations and Combinations
- Topic
- Applications of Permuations and Combination