Question

The letters of the word PROMISE are arranged so that no two of the vowels should come together. Find the total number of arrangements.

• A. 49
• B. 1440
• C. 7
• D. 1898

Answer 1

The correct option is B 1440

(B) The four constant can be written in 4! ways, i.e., 24 ways. The three vowel can be written in 3! ways, i.e., 6 ways. Since no two vowels can come together, therefore vowels can be inserted in any three places out of the five places available, such as, i.e.,in ${}^5{C}_3$ ways, i.e., 10 ways required $=24\times 6\times 10=1440$