Question

8. [X] Suppose twelve aspiring musicians, labeled as A. B L are in a room. Assume all of them can sing and are willing to play all sorts of musical instrument a) If five of the twelve are to be selected to start a musical group, in how many ways can b) If five of the twelve are to be selected to start a band in which there are a lead singer, a this be done? guitar player, a bass player, a drummer and a keyboardist, in how many ways can this be done? If five of the twelve are to be selected to start a band in which there are a lead singer, two guitar players, a bass player, and a drummer, in how many ways can this be done? Six of the twelve musicians hail from the East Coast, two from the Midwest, and the rest from the West Coast. If seven of the twelve are selected at random without replacement, what is the probability that exactly two of the seven selected hail from the East Coast? If the twelve musicians are to stand in a line with the condition that the people from the same region (East Coast, Midwest, West Coast) must stand together, how many line-ups are possible? c) d) e)

Answer 1

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