My wife and I attended a Hand Bell Concert at a neighboring church and we did not know the identity of any of the ringers. The concert began with small groups of ringers playing seven different pieces, and their names were given in the program. Assuming that I could remember the faces of each ensemble and could distinguish male from female, which of the 14 ringers could I identify by the end of the concert? The first seven pieces are given below along with the performers. Musical Selection             Ringers The Swan     Amy, Karen, Trever Kindness     Andrew, Karen, Lance Bist Du Bei Mir     Laurie, Michelle, Tracy, Yvonne Arioso     David, Lynne, Nancy, Stephanie Adagio     Andrew, Trever Pick A Winner     Andrew, Kate, Lance, Trever O Holy Night     Lynne, Tracy The following ringers were males: Andrew, David, Lance, Trever The following ringers were female: Amy, Karen, Kate, Laurie, Michelle, Lynne, Nancy, Stephanie, Tracy, Yvonne

Solution to the Problem: I could identify the following nine ringers: Amy, Andrew, David, Karen, Kate, Lance, Lynne, Tracy, and Trever. I could not determine the identities of the following five ringers: Laurie, Michelle, Nancy, Stephanie, and Yvonne. Here is the order in which the ringers were identified: Musical Selection             Ringers Identified The Swan     Trever (the only male) Kindness     Karen (only person in 1st 2 groups), Amy (only one left in 1st group) Bist Du Bei Mir     None Arioso     David (only male in group) Adagio     Andrew (since Trever was identified) Lance (since he is the remaining ringer in group 2) Pick A Winner     Kate (only female in this group) O Holy Night     Lynne (only one to be in groups 4 and 7), Tracy (only one left in group 7)

Correctly solved by: