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Chapter 11: Problem 19

Evaluate each factorial expression. \(\frac{600 !}{599 !}\)

Short Answer

Expert verified
The evaluated expression is 600.

Step by step solution

01

Understanding Factorial

Recall that the factorial of a number n, represented as n!, equals the product of all positive integers less than or equal to n. So, 600! equals the product of all integers from 1 to 600, and 599! equals the product of all integers from 1 to 599.
02

Simplifying the Expression

Given the expression \(\frac{600 !}{599 !}\) we know that 600! and 599! share a lot of identical factors, namely all the integers from 1 to 599. Those will cancel each other out when we divide 600! by 599!. Therefore, the expression simplifies to just 600.
03

Evaluate the Simplified Expression

Since the simplified expression is 600, there are no further steps required to evaluate it. The evaluated expression is 600.

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