JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

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 :

Answer: (4)

Solution

Choose 2 letters from 12 before M and 2 from 13 after M: ¹²C₂ × ¹³C₂ = 66 × 78 = 5148.

Question ID VK-001678