Question

How many eight-distinct letter words can be formed with the letters of the word “COURTESY” beginning with C and ending with Y?

(a) 576 

(b) 640 

(c) 336

(d) 720

Answer 1

(d) 720

The first place will always be filled by C and the last place will always be filled with Y. The remaining six places can be filled by the remaining 6 letters in ⁶P₆ ways. 

∴ Total number of words beginning with C and ending with Y = 1 × 1 × ⁶P₆ = 6 ! = 720.