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Simplify. (10 – 4)! (10 – 4)! =

Simplify. (10 – 4)! (10 – 4)! =

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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--- **Simplify the Expression** Given the mathematical expression, simplify: \[ (10 - 4)! \] Below the expression, there is a space to fill in the simplified result as follows: \[ (10 - 4)! = \Box \] **Explanation:** 1. **Calculate Inside Parentheses**: First, solve the expression inside the parentheses: \[ 10 - 4 = 6 \] 2. **Apply the Factorial**: Next, calculate \(6!\), which is the factorial of 6: \[ 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 \] **Conclusion**: Fill in \(720\) in the box provided. ---
Transcribed Image Text:--- **Simplify the Expression** Given the mathematical expression, simplify: \[ (10 - 4)! \] Below the expression, there is a space to fill in the simplified result as follows: \[ (10 - 4)! = \Box \] **Explanation:** 1. **Calculate Inside Parentheses**: First, solve the expression inside the parentheses: \[ 10 - 4 = 6 \] 2. **Apply the Factorial**: Next, calculate \(6!\), which is the factorial of 6: \[ 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 \] **Conclusion**: Fill in \(720\) in the box provided. ---
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