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CBSE Class 11-science Answered

6th sum 

Asked by lovemaan5500 | 02 Feb, 2019, 08:29: PM
Expert Answer
i) No two vowels are together
 
According to the condition we need to arrange consonants first. The number of consonants are 5.
Hence, these can be arranged by 5! = 120 ways
_ C _ C _ C _ C _ C _
 
If the vowels can be placed on the empty space by 6P3 ways i. e. 6 × 5 × 4 = 120 ways
Total number of words = 120 × 120 = 14400 
 
ii) The vowels can occupy odd places
Odd places are 1st, 3rd, 5th, 7th
These can be done in 4P3 = 4 × 3 × 2 = 24 ways
The remaining 5 consonants can be occupied in 5! ways i. e. 120
Total number of ways = 24 × 120 = 2880
Answered by Sneha shidid | 04 Feb, 2019, 10:05: AM
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