Consider a group of eleven officials of a particular organization. The group has five ladies L1 , L2 , L4 , L4 , L5 and six men M1 , M2 , .... ,M6 . M1 and L1 are a couple (married) and so are M5 and L5 . All the other members are single. A delegation of five officials is to be selected to attend an international meeting. In how many ways can the delegation be composed if:

 (i) The officials are equally likely?

 (ii) The delegation must not have more than two ladies?

 (iii) The married men (if selected) would attend if their wives also attend?

 (iv) Married officials (if selected) would attend if their spouses also attend? 

(v) Not more than one couple is allowed to attend?