Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10. how many different ways can the letters of the word folder be arran…

Question

  1. how many different ways can the letters of the word folder be arranged? = enter your next step here

Explanation:

Step1: Determine the number of letters

The word 'FOLDER' has 6 distinct letters.

Step2: Use the permutation formula for distinct objects

The number of permutations of \( n \) distinct objects is \( n! \). Here, \( n = 6 \), so we calculate \( 6! \).

Step3: Calculate \( 6! \)

\( 6! = 6\times5\times4\times3\times2\times1 = 720 \)

Answer:

720