Reference no: EM132857500
Jim is a guitarist of a rock band, Mutually Exclusive (ME). Jim is trying to select the guitars he will play with at the upcoming (virtual) concert.
a) Jim needs to choose two guitars from 8 guitars he owns. How many possible choices can he make? (Guitar 1, Guitar 2) is one possible choice.
b) Jim still needs to choose two guitars from 8 guitars he owns, but this time, he needs to designate one of them as the main guitar and the other as a back-up guitar. How many possible choices can he make? (Guitar 1 as the main guitar, Guitar 2 as a sub) is one possible choice.
c) Now suppose Jim selected two guitars for the concert, Guitar 1, and Guitar 2. In the concert, ME will play five songs. Jim is trying to decide which guitar he will play with in each of the five songs (assume that he uses one guitar in one song). Let an outcome be defined as the sequence of guitar choices assigned for the five songs. How many possible outcomes are there? (Guitar 1, Guitar 1, Guitar 2, Guitar 2, Guitar 1) is one possible outcome.
d) ME consists of one guitarist, one bass guitarist, and one drummer. Now, the band is trying to decide the set of instruments they will play with at the concert. Each player needs to choose two, and they have eight guitars, five bass guitars, and three drum sets. How many possible choices are there? Suppose that each player selects two without any roles assigned to the instruments they select (no main or sub).