In how many different ways can the letters of | vedclass

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(D) The word '$CYCLE$' contains $5$ letters in total.In this word,the letter '$C$' appears $2$ times,while the letters '$Y$','$L$',and '$E$' appear $1

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(D) The word '$CYCLE$' contains $5$ letters in total.In this word,the letter '$C$' appears $2$ times,while the letters '$Y$','$L$',and '$E$' appear $1$ time each.The number of ways to arrange $n$ objects where $p$ objects are of one kind and $q$ objects are of another kind is given by $\frac{n!}{p!q!...}$.Here,$n = 5$ and the frequency of '$C$' is $2$.Therefore,the total number of arrangements $= \frac{5!}{2!} = \frac{120}{2} = 60$ ways.

In how many different ways can the letters of the word '$CYCLE$' be arranged?

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