JEE Mains · Maths · STD 11 - 6. permutation and combination
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:
- A \(2670\)
- B \(2840\)
- C \(2920\)
- D \(3600\)
Answer & Solution
Correct Answer
(D) \(3600\)
Step-by-step Solution
Detailed explanation
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…
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