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QA – Placement Quizzes | Permutation and Combination | Question 14

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  • Last Updated : 28 Jun, 2021
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In how many different ways can the alphabets of the word ‘SCORING’ be arranged so that the vowels always come together?
(A) 120
(B) 720
(C) 240
(D) 1440

Answer: (D)

Explanation: We have 5 consonants and 2 vowels.
Since, the vowels must always come together, we can treat them as a single alphabet.
Then, we have to arrange 6 alphabets.
Number of ways to arrange 6 alphabets = 6! = 720.
The two vowels can be arranged in 2! Ways. So, the required number of ways = 6! * 2! = 1440.

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