A puzzle in the local newspaper lists the letters M, R, O, U, and H and asks readers if they can correctly unscramble the letters. How many different ways are there to list the five letters?

25

B.
3,125

C.
120

D.
7,893,600

The 'Fundamental Principle of Counting' says 'If an operation [tex]p_{i}[/tex] (where i = 1, 2 , 3, ... , k) is performed in [tex]n_{i}[/tex] (where i = 1, 2 , 3, ... , k) ways respectively, then the entire sequence can be performed in [tex]n_{1}*n_{2}*n_{3}*......*n_{k}[/tex] ways.

Now, we are given the words M, R, O, U, H and are required to form words out of these five letters.

Hence, the number of different ways to list all the five letters is 5*4*3*2*1 i.e. 120 ways.

A puzzle in the local newspaper lists the letters M, R, O, U, and H and asks readers if they can correctly unscramble the letters. How many different ways are there to list the five letters? 25 B. 3,125 C. 120 D. 7,893,600

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A puzzle in the local newspaper lists the letters M, R, O, U, and H and asks readers if they can correctly unscramble the letters. How many different ways are there to list the five letters?

25

B.
3,125

C.
120

D.
7,893,600