cathomec1
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

How many different ways
can you arrange the letters
in the word SMILE?


PLSSS HELP

Sagot :

johnny837

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.