Question

The number of ways to arrange the letters of the word “CHEESE”: 

(a) 120

(b) 240 

(c) 720 

(d) 6

Answer 1

(a) 120

Here there are 6 letters. 

The letter C occurs one time

The letter H occurs one time 

The letter E occurs three times 

The letter S occurs one time 

Number of arrangements = \(\frac{6!}{1!1!3!1!}=\frac{6!}{3!}\)

= \(\frac{6\times5\times4\times3!}{3!}\) = 120