Question

question
john has 5 different flags that he wants to hang on the wall. how many different ways can the flags be arranged in a row?

answer attempt 1 out of 2
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Explanation:

Step1: Identify the problem type

This is a permutation problem where we need to find the number of ways to arrange 5 different flags. The formula for permutations of \( n \) distinct objects is \( n! \) (n factorial), which is \( n\times(n - 1)\times(n - 2)\times\cdots\times1 \).

Step2: Calculate the factorial

For \( n = 5 \), we calculate \( 5! \).
\( 5! = 5\times4\times3\times2\times1 \)
First, \( 5\times4 = 20 \), then \( 20\times3 = 60 \), then \( 60\times2 = 120 \), then \( 120\times1 = 120 \).

Answer:

120