The number of ways to arrange the letters of the word CASE is?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

The number of ways to arrange the letters of the word CASE is?

Explanation:
Permuting four distinct letters is a permutations problem. Since CASE has four different letters, every arrangement uses all four letters in a unique order. Choose the first position: 4 possibilities. Then the second position has 3 remaining choices, the third has 2, and the last position has 1. Multiply: 4 × 3 × 2 × 1 = 24. So CASE can be arranged in 24 distinct ways. (If there were repeated letters, we’d divide by the factorials of the repeats, but here there are none.)

Permuting four distinct letters is a permutations problem. Since CASE has four different letters, every arrangement uses all four letters in a unique order. Choose the first position: 4 possibilities. Then the second position has 3 remaining choices, the third has 2, and the last position has 1. Multiply: 4 × 3 × 2 × 1 = 24. So CASE can be arranged in 24 distinct ways. (If there were repeated letters, we’d divide by the factorials of the repeats, but here there are none.)

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy