# The number of ways to arrange the letters of the word CHEESE

Question:

The number of ways to arrange the letters of the word CHEESE are

(a) 120

(b) 240

(c) 720

(d) 6

Solution:

(a) 120

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