Question

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

Answer 1

The answer to this question is C. This is 100% correct.

Answer 2

C. 120

Explanation:

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 5*4*3*2*1 i.e. 120 ways.