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 \(p_{i}\) (where i = 1, 2 , 3, ... , k) is performed in \(n_{i}\) (where i = 1, 2 , 3, ... , k) ways respectively, then the entire sequence can be performed in \(n_{1}*n_{2}*n_{3}*......*n_{k}\) 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 54321 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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Related Questions

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