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Number of words that can be formed with letters of the word AL

Question

Number of words that can be formed with letters of the word $A L GEBR A$ so that all the vowels are separated (or no two vowels come together) is

720

2160

1440

None of these

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Emma Discussed

Number of words that can be formed with letters of the word

A L GEBR A

so that all the vowels are separated (or no two vowels come together) is

12 mins ago

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Text solutionVerified

-L-G-B-R-

Possible ways to arrange consonants among themselves

= 41

Now we need to find the no. of ways we can arrange

3

vowels in

5

places. This could be done by

^{5} C_{3} \times \frac{3 !}{2 !}

Hence the total no. of ways

= 4! \times^{5} C_{3} \times \frac{3 !}{2 !}

= 24 \times 10 \times 3 = 720

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Question Text	Number of words that can be formed with letters of the word $A L GEBR A$ so that all the vowels are separated (or no two vowels come together) is
Answer Type	Text solution:1
Upvotes	150