1.  Barky the clown is giving away lollipops at the circus. He has four different kinds of lollipops. Now Barky is a mathematically inclined clown, (very rare in the circus world) and he likes to give them away in order such that for every sequence of four lollipops he gives away he repeats the sequence as few times as possible. How many different sequences are there for Barky to give out his lollipops assuming he always gives them away in sequences of four different colors in a row each time?

 2.  Proteins are made from linear sequences of amino acids. How many different proteins could be made from the amino acids phenylalanine, glutamic acid, and lysine?


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 4.  Ryan has six different kinds of cars to use on his model railroad. In how many different orders can he arrange the cars to be pulled by the engine?


5.  It is student council election time again! Your principle has asked you to vote for two representatives from your math class. Since your class is small (12students) it should not be too hard to figure out how many combinations of two students are possible to be selected in this process. Can you figure it out?

 6.  In your new ant collection (containing no endangered species of course) you have five ants. In deciding a way to arrange them on the display card, you wonder how many different ways there are to arrange five different ants all in a row. How many are there?

