JEE Main Mathematics Question (2026) — Solution

Step-by-step solution

The given word is INCONSEQUENTIAL. The vowels present in the word are I, O, E, U, A. There are 5 distinct vowels. The consonants present in the word are N, C, S, Q, T, L. There are 6 distinct consonants. We need to form 4-letter words consisting of 2 vowels and 2 consonants without repeating any letter. This means all 4 letters in the formed word must be distinct. Number of ways to select 2 distinct vowels from 5 distinct vowels = ^ 5 C_ 2 = 5 4 2 = 10 Number of ways to select 2 distinct consonants from 6 distinct consonants = ^ 6 C_ 2 = 6 5 2 = 15 Number of ways to arrange the 4 selected letters = 4! = 24 Total number of 4-letter words that can be formed = 10 15 24 = 3600 Answer: 3600