Permutation & Combination · Question 7 · Medium
In how many arrangements of the letters of ORANGE does the word begin and end with a vowel?
- 720
- 144
- 72
- 36
Answer and explanation
Answer: B. 144
Explanation: The vowels are O, A, E. Choose and arrange 2 of them at the ends in 3 × 2 = 6 ways, and the other 4 letters in the middle in 4! = 24 ways: 6 × 24 = 144.
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