A. Express in factorial form: а) 7x6х5x4x3x2x1 с) 4x3x2x1 b) 11x10х9x8x7х6х5x4x3х2x1 d) 13x12x11x10

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Express in Factorial Form:

a) \(7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

b) \(11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

c) \(4 \times 3 \times 2 \times 1\)

d) \(13 \times 12 \times 11 \times 10\)

### Explanation:

- **Factorial Form**: A factorial, denoted by n!, is the product of all positive integers less than or equal to n.

- **Examples**:
  - \(7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
  - \(11! = 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
  - \(4! = 4 \times 3 \times 2 \times 1\)
  - \(13 \times 12 \times 11 \times 10\) is not a complete factorial, but part of the factorial expansion of a larger number.
Transcribed Image Text:## Express in Factorial Form: a) \(7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\) b) \(11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\) c) \(4 \times 3 \times 2 \times 1\) d) \(13 \times 12 \times 11 \times 10\) ### Explanation: - **Factorial Form**: A factorial, denoted by n!, is the product of all positive integers less than or equal to n. - **Examples**: - \(7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\) - \(11! = 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\) - \(4! = 4 \times 3 \times 2 \times 1\) - \(13 \times 12 \times 11 \times 10\) is not a complete factorial, but part of the factorial expansion of a larger number.
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