Multiple choice

Directions: Answer the question independently. Two words USURY and LUXURY are joined together. Words of four letters (all different) are formed with the help of the letters of the new word thus formed. How many such new words can be formed (not necessarily meaningful)?

  1. 360

  2. 330

  3. 17325

  4. 3600

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

USURY has 5 letters (U, S, U, R, Y). LUXURY has 6 letters (L, U, X, U, R, Y). Combined: U, S, U, R, Y, L, U, X, U, R, Y. Unique letters: U, S, R, Y, L, X (6 total). We need to form 4-letter words from these 6 distinct letters. Permutations = 6P4 = 6*5*4*3 = 360.