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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
Step1: Recall permutation of n distinct objects
The number of permutations of \( n \) distinct objects is given by \( n! \) (n factorial), where \( n! = n\times(n - 1)\times(n - 2)\times\cdots\times1 \). Here, we have \( n = 5 \) distinct flags.
Step2: Calculate \( 5! \)
\( 5! = 5\times4\times3\times2\times1 = 120 \)
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120