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Chapter 8: Problem 77

Use a calculator's factorial key to evaluate each expression. $$\left(\frac{300}{20}\right) !$$

Short Answer

Expert verified
The result of \((\frac{300}{20})!\) is 1,307,674,368,000. You can confirm this using the factorial function on your calculator.

Step by step solution

01

Perform Division

The first thing to do is to resolve the operation inside the parentheses. Therefore, \(\frac{300}{20} = 15.\)
02

Calculate the Factorial

Now, the factorial of 15, denoted as 15!, should be calculated. The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. So, it can be calculated as 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1.
03

Use Calculator

Most calculators have a factorial function. This is typically denoted as n!. Plug 15 into your calculator's factorial function to obtain the final result.

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