(a)         Five (5)  female and seven (7) male teachers applied for 4 vacancies in a Junior High School. The teachers  are equally qualified. Find the  number of ways of employing 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  | 5  | T  | U  | V  | 
                          
                            | Judge X  | 2  | 7  | 1  | 3  | 6  | 5  | 4  | 
                          
                            | Judge Y  | 4  | 6  | 2  | 3  | 7  | 1  | 5  | 
                        
                                    (i)      Calculate, correct  to one decimal place, the Spearman's rank correlation coefficient. 
              (ii)     Interpret your answer in (b){i) above.