Question

The number of ways to arrange the letters of the word CHEESE are
(a) 120
(b) 240
(c) 720
(d) 6

Answer 1

(a) 120
Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind = $\frac{6!}{3!}$ = 120