How many different words can be formed using all the letters of the word $^{'} A L L A H A B A D^{'}$ when all the vowels are together?

1

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5040

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720

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360

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Solution

The correct option is D $360$
A-4
L-2
H-1
D-1
B-1
Since the vowels has to together, so there would be 6 places(as only A would be together)
_ _ _ _ _ _
Number of ways $= \frac{6!}{2!}$
$= 360$

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Similar questions

^{'} {ALLAHABAD}^{'}

L^{'} s

A L L A H A B A D

How many words, with or without meaning can be formed from the letters of the word 'MONDAY' assuming that no letter is repeated? If

(i) 4 letters are used at a time?

(ii) all letters are used at a time ?

(iii) all letters are used but first letter is vowel?

How many different words can be formed by using all the letters of the word 'ALLAHABAD' ?

(i) In how many of them, vowels occupy the even position ?

(ii) In how many of them, both 'L' do not come together ?

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