Question

In how many ways can the letters RAWHOR be arranged?

Answer 1

Solution:

Given that we are to evaluate the number of ways to arrange the letters in the word RAWHOR,

In the word RAWHOR, we have 5 distinct letters:

R(1), A(2), W(3), H(4), O(5).

There are 2 R's.

Thus, the number of ways of arranging the letters is evaluated as

$\begin{gathered} \frac{5!}{2!}=\frac{5\times4\times3\times2!}{2!} \\ =5\times4\times3 \\ =60\text{ ways} \end{gathered}$

Hence, the letters in the word RAWHOR can be arranged in 60 ways.