Multiple choice

In how many different ways can the letters of the word 'ALGEBRA' be arranged?

  1. 5040

  2. 2520

  3. 1260

  4. 1020

  5. 720

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The word ALGEBRA has 7 letters, but the letter A is repeated twice. The number of distinct arrangements is 7!/2! = 5040/2 = 2520. Option A (5040) is incorrect because it doesn't account for the repetition. Option C (1260) would be 7!/4!, which is not the case here.