How do you calculate the factorial of 5?

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 calculate the factorial of 5, represented as 5!, you multiply all positive integers from 1 to 5 together. This can be expressed mathematically as:

5! = 5 × 4 × 3 × 2 × 1

Now let's perform the calculation step by step:

  • First, multiply 5 by 4, which gives us 20.

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

  • Then, take 60 and multiply it by 2 to get 120.

  • Lastly, multiply 120 by 1, which still equals 120.

Hence, the final value for 5! is 120. This is a fundamental concept in factorial calculations, and mastering it is crucial, especially in combinatorics and probability contexts.

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