Question

county assessments the county assessment bureau decides to reassess homes in 7 different areas. how many different ways can this be accomplished? use a ti-83 plus/ti-84 plus calculator. there are different ways to arrange 7 different areas for reassessment.

Explanation:

Step1: Identify the problem type

This is a permutation problem where we want to find the number of ways to arrange 7 different areas. The number of permutations of \( n \) distinct objects is given by \( n! \) (n factorial), where \( n! = n\times(n - 1)\times(n - 2)\times\cdots\times1 \).

Step2: Calculate 7 factorial

For \( n = 7 \), we calculate \( 7! \):
\[
7! = 7\times6\times5\times4\times3\times2\times1
\]
First, \( 7\times6 = 42 \), then \( 42\times5 = 210 \), \( 210\times4 = 840 \), \( 840\times3 = 2520 \), \( 2520\times2 = 5040 \), \( 5040\times1 = 5040 \).

Answer:

5040