Mathematics · Permutations and Combinations

JEE Main 2026 — 6 April, Morning Shift — Question 27

The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any letter, is:

Option A:
2670
Option B:
2840
Option C:
2920
Option D:
3600
Correct

Answer: D

Step-by-step solution

INCONSEQUENTIAL contains (I, E,O, A,U) and (N,C,S,Q,T,L)

Total number of 4 letter words using two vowels and two consonants is $={ }^{5} \mathrm{C}_{2} \times{ }^{6} \mathrm{C}_{2} \times 4!$ $=3600$

Answer key and solution verified before publishing.

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Exam: JEE Main 2026
Paper: 6 April, Morning Shift
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Problems based on both permutations and combinations