Question 1
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In how many ways can the letters of ENGINEERING be arranged so that all the vowels come together?
- A 420
- B 2,77,200
- C 4,200 Correct
- D 8,400
Correct Answer: Option C
Vowels E, E, E, I, I as one block; consonants N, N, N, G, G, R
Units: block + 6 → 7!/(3! 2!) = 420
Inside the block: 5!/(3! 2!) = 10
420 × 10 = 4,200
Trap: 420 forgets to arrange the vowels.
Answer: 4,200
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