1.E: Combinations (Optional Exercises)
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Do the following problems using combinations.
 How many different 3people committees can be chosen from ten people?

 How many different 5player teams can be chosen from eight players?

 In how many ways can a person chose to vote for three out of five candidates on a ballot for a school board election?

 Compute the following:
 9C2
 6C4
 8C3
 7C4

 How many 5card hands can be chosen from a deck of cards?

 How many 13card bridge hands can be chosen from a deck of cards?

 There are twelve people at a party. If they all shake hands, how many different handshakes are there?

 In how many ways can a student choose to do four questions out of five on a test?

 Five points lie on a circle. How many chords can be drawn through them?

 How many diagonals does a hexagon have?

 There are five team in a league. How many games are played if every team plays each other twice?

 A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

 In how many different ways can a 4child family have 2 boys and 2 girls?

 A coin is tossed five times. In how many ways can it fall three heads and two tails?

 The shopping area of a town is a square that is six blocks by six blocks. How many different routes can a taxi driver take to go from one corner of the shopping area to the opposite catercorner?

 If the shopping area in the previous problem has a rectangular form of 5 blocks by 3 blocks, then how many different routes can a taxi driver take to drive from one end of the shopping area to the opposite kitty corner end?

 A team of 7 workers is assigned to a project. In how many ways can 3 of the 7 workers be selected to make a presentation to the management about their progress on the project?

 A real estate company has 12 houses listed for sale by their clients. In how many ways can 5 of the 12 houses be selected to be featured in an advertising brochures?

 A frozen yogurt store has 9 toppings to choose from. In how many ways can 3 of the 9 toppings be selected ?

 A kindergarten teacher has 14 books about a holiday. In how many ways can she select 4 of the books to read to her class in the week before the holiday?
