A puzzle in the local newspaper lists the letters \( M, R, O, \mathrm{U} \), and H and asks readers if they can correctly unscramble the letters. How many different ways are there to list the five letters? (1 point) \( 7,893,600 \) 25 120 3,125

To find the number of different ways to list the five letters \( M, R, O, U, \) and \( H \), we need to calculate the number of permutations of these letters. The number of permutations of \( n \) distinct objects is given by \( n! \) (n factorial), where \( n! = n \times (n-1) \times (n-2) \times \ldots \times 2 \times 1 \). In this case, we have 5 distinct letters, so the number of permutations is \( 5! \). Let's calculate \( 5! \) to find the number of different ways to list the five letters. Simplify the expression by following steps: - step0: Solution: \(5!\) - step1: Calculate: \(120\)