Question

0.39 A word is formed by using Seven alphabets in which 3 are vowels. In how many ways it can be formed in which 2 vowel always be together. 1. 4346 2. 1440 3.720 4. 4320 5. 2160​

Answer 1

Answer

1440

Step-by-step explanation:

Putting the two chosen vowels together in a box and counting it as 1

that is 3 C 2 and arranging them in 2! ways

Separating the rest 5 digits left

Together the five digits and the two chosen vowels  form 6 digits

They can now be arranged in 6! ways

Thus total ways = 3 C 2 X 2! X 6!

                          = 1440

Answer 2

इस प्रश्न का सही उत्तर है 4320