Quantitative Reasoning

Permutation & Combination

Medium

In how many different ways can the letters of the word 'OPTICAL' be arranged in such a way that the vowels always come together?

685

724

830

720

✅ Correct Option: 4

OPTICAL has $7$ distinct letters with vowels O, I, A. Treating the three vowels as one block gives $5$ units, arranged in $5! = 120$ ways, and the vowels among themselves in $3! = 6$ ways. Total $= 120 \times 6 = 720$ .

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Solution

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