1.  Nicole has four skirts and three shirts. How many different combinations of shirts and skirts can she create using these two sets of clothes?

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


3.  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?

 4.  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?


5.  Ms. Crump always includes a few bonus questions on her tests. Since if you get them wrong they don't count against your score, you might as well try them. However, on the last test she said you were only allowed to answer two of the six bonus questions offered. How many combinations of two questions could have been selected from the six bonus questions?

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