What is the number of words that can be formed from the letters of the

1.	What is the number of words that can be formed from the letters of the word 'DAUGHTER', the vowels remaining always together?1. 7202. 43203. 172804. 21540
Answer» Correct Answer - Option 2 : 4320 Concept: The letters A, E, I, O, and U are called vowels. The other letters in the alphabet are called consonants. n ! = n(n - 1)(n - 2)....3.2.1 Calculations: We know that, the letters A, E, I, O, and U are called vowels. The other letters in the alphabet are called consonants. In the word 'DAUGHTER', the vowels are ‘a, u, e’ and the consonants are “d, g, h, t, r” All the vowels should come together, so consider the bundle of vowels as one letter, then the total letters will be 6. [(aue), d, g, h, t, r] So, no. of ways of arranging these letters = 6! × 3! = 4320

What is the number of words that can be formed from the letters of the word 'DAUGHTER', the vowels remaining always together?1. 7202. 43203. 172804. 21540

Answer» Correct Answer - Option 2 : 4320

Concept:

The letters A, E, I, O, and U are called vowels. The other letters in the alphabet are called consonants.

n ! = n(n - 1)(n - 2)....3.2.1

Calculations:

We know that, the letters A, E, I, O, and U are called vowels. The other letters in the alphabet are called consonants.

In the word 'DAUGHTER', the vowels are ‘a, u, e’ and the consonants are “d, g, h, t, r”

All the vowels should come together, so consider the bundle of vowels as one letter, then the total letters will be 6. [(aue), d, g, h, t, r]

So, no. of ways of arranging these letters = 6! × 3! = 4320

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