Multiple choice

In how many ways can the letters of the word $'FRIDAY'$ be arranged. If the vowels are never together.

  1. $240$
  2. $480$
  3. $120$
  4. $360$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The word FRIDAY has 6 distinct letters, including 2 vowels (I, A) and 4 consonants. The total number of unrestricted arrangements is 6! = 720. If the vowels are kept together as a single unit, there are 5 units to arrange in 5! * 2! = 240 ways. Subtracting this from the total gives 720 - 240 = 480 ways where the vowels are never together.

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