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Chapter 8: Problem 80

Use a calculator's factorial key to evaluate each expression. $$\frac{54 !}{(54-3) ! 3 !}$$

Short Answer

Expert verified
To compute \( \frac{54!}{51! 3!} \), calculate the factorial of 54, 51 and 3 respectively then divide 54! by the product of 51! and 3!. Ensure to use a reliable calculator with a factorial function. The result of the division is the final answer.

Step by step solution

01

Understand the Factors

Break down the equation into easier to understand parts: \(54! / (54-3)! 3!\) This can also be written as \(54! / 51! 3!\). Factorial is the product of an integer and all the integers below it, so 54! is the product of all positive integers up to 54.
02

Apply the Factorial Method

Use the factorial function on your calculator to calculate 54!, 51!, and 3!. It's usually denoted by 'x!', 'n!' or '!'. This means you should calculate these values by multiplying each number by every positive integer less than it.
03

Compute the Division

Once you have the values for 54!, 51!, and 3!, you should then divide 54! by the product of 51! and 3!. The result will be the final answer.

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