What is the value of 5! (5 factorial)?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To find the value of 5!, which is read as "5 factorial," you multiply all the whole numbers from 5 down to 1. This can be expressed mathematically as:

5! = 5 × 4 × 3 × 2 × 1

Calculating this step-by-step:

  • First, multiply 5 by 4, which equals 20.

  • Next, take that result (20) and multiply it by 3, resulting in 60.

  • Then, multiply 60 by 2, giving you 120.

  • Finally, multiply 120 by 1, which remains 120.

Thus, the value of 5! is 120. This answer reflects the definition of factorial, which is widely used in permutations, combinations, and other areas of mathematics.

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