(a) Five female and seven male teachers applied for 4 vacancies in a Junior High School. The teachers are equally qualified. Find the number of ways of employing the 4 teachers, if : (i) there is no restriction ; (ii) at least 2 of them are females.

(b) The table shows the positions awarded to 7 contestants by Judges X and Y in a competition.

Contestant	P	Q	R	S	T	U	V
Judge X	2	7	1	3	6	5	4
Judge Y	4	6	2	3	1	1	5

(i) Calculate, correct to one decimal place, the Spearman's rank correlation coefficient.

(ii) Interpret your answer in b(i) above.