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The number of arrangements of the letters of the word 'VEER BH

Question

The number of arrangements of the letters of the word $^{'} V EER B H A D U R^{'}$ in which two vowels are togerther and other two vowels are together but separated from each other-

15 \times 6!

18 \times 7!

21 \times 6!

21 \times 7!

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Elijah Discussed

The number of arrangements of the letters of the word

^{'} V EER B H A D U R^{'}

in which two vowels are togerther and other two vowels are together but separated from each other-

11 mins ago

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11 mins ago

Text solutionVerified

VEER BHADUR

(EE) (AU) and

(EU) (AE) are the only pair of Vowels possible.

VRBHDR can be arranged

\frac{6 !}{2}

ways (R is repeated)-------(1)

The vowel pairs can be placed in between the

spaces of the alphabets from (1)

For (EE) (AU)

\to

2 arrangements

(EU) (AE)

\to

4 arrangements

Number of arrangements

= \frac{6 !}{2} [7 p_{2} \times 2 + 7 p_{2} \times 4]

= \frac{6 !}{2} [84 + 168]

= \frac{7 !}{2} [12 + 24] = \frac{36 \times 7 !}{2}

= 18 \times 7!

ways.

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Question Text	The number of arrangements of the letters of the word $^{'} V EER B H A D U R^{'}$ in which two vowels are togerther and other two vowels are together but separated from each other-
Answer Type	Text solution:1
Upvotes	150