Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleMedium2 minPYQ_2025

MathematicsMediumsingle choice

The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is

Options:

Answer:

Solution:

DAUGHTER
Total words $= 8$ !
Total words in which vowels are together $= 6! \times 3!$ words in which all vowels are not together
$= 8! - 6! \times 3! = 6! [56 - 6] = 720 \times 50 = 36000$

Ans.(3)

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: PYQ_2025

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