how many ways can 6 specific unique symbols b...

how many ways can 6 specific unique symbols be arranged?

Answer

# Explanation: ## Step1: Recall permutation formula The number of permutations of \(n\) distinct objects is \(n!\). Here \(n = 6\). ## Step2: Calculate factorial \(n!=n\times(n - 1)\times\cdots\times1\), so \(6!=6\times5\times4\times3\times2\times1\). \(6\times5 = 30\), \(30\times4=120\), \(120\times3 = 360\), \(360\times2=720\), \(720\times1 = 720\). # Answer: 720