Multiple choice

In how many different ways can the letters of the word 'ENTRANCE' be arranged in such a way that the vowels always come together ? शब्द 'ENTRANCE' के अक्षर कितने विभिन्न प्रकार से क्रमबद्ध किये जा सकते हैं ताकि स्वर एक साथ आ सके?

  1. 5120

  2. 2060

  3. 720

  4. 1080

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

ENTRANCE has 8 letters with vowels E, A, E (E repeats twice). Treat vowels as one block with consonants N, T, R, N, C. Total 6 units can be arranged in 6! ways. Vowels within their block: 3!/2! = 3 ways. Consonants: 5!/2! = 60 ways. Total = 6 × 60 × 3 = 1080.

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