AP EAMCET · Maths · Permutation Combination
The number of ways in which all the letters of the word COMBINATION can be arranged so that the vowels always come together is
- A 45678
- B 50400
- C 75600
- D 82300
Answer & Solution
Correct Answer
(C) 75600
Step-by-step Solution
Detailed explanation
Vowels: O, I, A, I, O. Arrangements within block = \( \frac{5!}{2!2!} = \frac{120}{4} = 30 \) Units to arrange: C, M, B, N, T, N, (Vowels block). Total 7 units. N repeated 2 times. Arrangements = \( \frac{7!}{2!} = \frac{5040}{2} = 2520 \) Total ways =…
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