In how many different ways the letters of the word OUTSIDE be arranged in such a way that all vowels always come together? OUTSIDE शब्द के अक्षरों को कितने अलग-अलग तरीकों से इस तरह से व्यवस्थित किया गया है कि सभी स्वर हमेशा एक साथ आते हैं?

The word OUTSIDE has 6 letters with vowels O, U, I, E (4 vowels) and consonants T, S, D (3 consonants). Treat the 4 vowels as one unit. So we have 4 units total (vowel block + 3 consonants) that can be arranged in 4! = 24 ways. Within the vowel block, the 4 vowels can be arranged in 4! = 24 ways. Total arrangements = 24 × 24 = 576.