Calculate the factorial of 4 (4!).

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

To calculate the factorial of a number, you multiply that number by every positive integer less than it down to 1. For the factorial of 4, you would calculate it as follows:

4! = 4 × 3 × 2 × 1

Calculating it step-by-step:

  • First, multiply 4 and 3, which gives you 12.

  • Next, multiply that result (12) by 2, resulting in 24.

  • Finally, multiply 24 by 1, which keeps it at 24.

Thus, 4! = 24. The correct choice, therefore, is the one that states 4! equals 24.

Understanding this process is key in factorial calculations and lays the foundation for more complex combinatorial problems, where factorials are frequently used to determine arrangements and selections.

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