How many ways are there to arrange 3 distinct books in a row?

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 United Knowledge Validation Test with flashcards and multiple choice questions, each question has hints and explanations. Enhance your understanding and boost your confidence!

Multiple Choice

How many ways are there to arrange 3 distinct books in a row?

Explanation:
Arranging in a row treats order as important, so we’re counting permutations of 3 distinct books. For the first position there are 3 choices, then 2 remaining choices for the second position, and 1 choice for the last position. Multiply: 3 × 2 × 1 = 6. So there are six possible orders: ABC, ACB, BAC, BCA, CAB, CBA. The other numbers don’t fit because they don’t account for using each book exactly once in all three positions (3 would ignore the rest, 9 would imply repeating or ignoring a position, etc.).

Arranging in a row treats order as important, so we’re counting permutations of 3 distinct books. For the first position there are 3 choices, then 2 remaining choices for the second position, and 1 choice for the last position. Multiply: 3 × 2 × 1 = 6. So there are six possible orders: ABC, ACB, BAC, BCA, CAB, CBA. The other numbers don’t fit because they don’t account for using each book exactly once in all three positions (3 would ignore the rest, 9 would imply repeating or ignoring a position, etc.).

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy