You are required to take five​ courses, one each in​ humanities, sociology,​ science, math, and music. You have a choice of 2 humanities​ courses, 4 sociology​ courses,3 science​ courses, 3 math​ courses, and 8 music courses. How many different sets of five courses are​ possible?     There are___different sets of five courses possible. ​(Type a whole​ number.)

There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How many different ways can the runners finish first through third? ​(Type a whole​ number.)

Customer account "numbers" for a certain company consists of 2 letters followed by 3 single-digit numbers. How many different account numbers are possible if repetitions of letters and digits are allowed?

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.Select ALL the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. * 5 necklaces and 1 bracelet 2 necklaces and 5 bracelets 3 necklaces and 3 bracelet 4 necklaces and 2 bracelets 3 necklaces and 5 bracelets 6 necklaces and no bracelets No necklaces and 8 bracelets This is a required question