In this question, show all working details of the steps carried out to determine the answers.

Jenny has ten cards, which are labelled B, D, F, F, F, G, M, M, X, Y. (a) By arranging these ten cards, a "word" is formed. Example: MYDFMXGFFB (i) Determine the number of different "words" that Jenny can make with the ten cards. (ii) Determine the number of "words" in Question 2(a)(i) which begin and end with F, and in which the two letters M are consecutive? (b) Fadli chooses three of Jenny's ten cards at random. Compute the probability that (i) Fadli's three cards carry the letters F or M. (ii) Jenny's remaining seven cards have no repeated letters.