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Chapter 11: Problem 23

Evaluate each factorial expression. \(7 !-3 !\)

Short Answer

Expert verified
The result of the factorial expression \(7 ! - 3 !\) is \(5034\)

Step by step solution

01

Identify and define the factorial expression

A factorial, denoted as 'n!' or 'n factorial' is the product of all positive integers less than or equal to 'n'. For example factorial, '2!' is \(2 * 1 = 2\) and '3!' is \(3 * 2 * 1 = 6\). Applying this to our exercise, first let's calculate the factorials for '7!' and '3!'.
02

Calculate the factorial values

Factorials are calculated as follows: '7!' is \(7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040\) and '3!' is \(3 * 2 * 1 = 6\). After calculating '7!' and '3!', we get the values \(5040\) and \(6\) respectively.
03

Finish the final calculation

Now, according to the given expression, subtract the value of '3!' from '7!'. That is, '7!' - '3!' = \(5040 - 6 = 5034\). So, the result of the expression \(7 ! - 3 !\) is \(5034\).

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