The word contains 3 vowels and four consonants then in how many ways we can arrange all the letters of the word without reputation so that: a)No two vowels are together b)All the vowels are together
Answer (1)
19th Oct, 2020
1)_C_C_C_C_
Number of ways in which 3 vowels can be arranged in the 5 places=5P3
Number of ways in which 4 consonants can be arranged in their designated places=4P4
Total ways such that no two vowels are together=5P3*4P4=1440.
2) Take the vowels together and treat them as single entity. No. Of ways to arrange them is 5!.The vowels in themselves can be arranged in 3! Ways. Therefore the total number of ways such that vowels occur together=5! *3!
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