Combinations and Permutations

Match it! Select the correct answer from the pull down...Good luck!

If you have 8 vases to choose from, how many ways can you arrange 5 of them on a shelf?

If 7 pizza toppings are available, how many ways can you choose 2 toppings?

Students in a music history class are giving presentations on the Contemporary period, the Romantic Period, and the Twentieth Century. In how many different orders could the periods be presented?

For an art exhibit, Craig has to choose 3 ceramic mugs out of the 7 he made over the summer. In how many ways can he arrange these 3 mugs in a row?

There were 8 dogs in a litter. How many ways can Mike choose 2 dogs?

How many ways can 7 people arrange themselves inside a van that has 10 seats?

Tyrone makes a smoothie for breakfast every morning. Today, he wants to use 5 different fruits. In how many different orders can he add these fruits to his blender?

or Ron is planning a cheese-tasting event, where Roquefort, Monterey Jack, Muenster, and Gruyere cheeses will be arranged in a row across the middle of the venue. In how many different orders can he arrange the cheeses?