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← JEE Main 2026 · 6 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 7 of 75

JEE Main 2026 · 6 Apr · Shift 1, Mathematics question 7

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:

Choose one option
Answer and worked solution

Official answer: D

Distinct letters.

  • Vowels: I, O, E, U, A (5).
  • Consonants: N, C, S, Q, T, L (6).

Count.
(52)(62)⋅4!=10⋅15⋅24=3600.\binom52\binom62\cdot4!=10\cdot15\cdot24=3600.

(D)