Please solve problem. Thanks. Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. A club with 35 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done? ways Solution We have to use combination of both. The anwer will be =(35c5)*(5!). The (35c5) is for selecting the 5 candidates amongst 35 and factorial 5 part is for no. of ways those five selected candidates can be given the five different posts. hence the total is the combination of both.