1.  There are five sticks on the table. Each stick is a different color. How many ways are there to arrange the sticks in a line so that no two arrangements have the same color sequence?

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3.  Barky the clown is giving away lollipops at the circus. He has six 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 six 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 six different colors in a row each time?

 4.  Mr. Snorp is sending teams of math superstars from his school to a mathematics contest in Bigtown. He has thirteen students to choose from and the teams must consist of four people. How many ways are there for him to choose different four person teams from his thirteen candidates?


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

 6.  Combien4letter combinations are possible from the first six letters of the alphabet?

