Computation
Permutation
Word Problems
Harder Computation
Harder Permutation
100

What is Computation?

What is the procedure of calculating?

100

What is Permutation?

What is an arrangement of objects in a particular way or order?

100


Ellen and her best friend wanted to paint their apartment. In their storage closet, they found 8 cans of paint. Ellen remembered that 6 of the cans contained purple paint, but none of the cans had labels. If Ellen randomly opened 5 cans, what is the probability that all of them contain purple paint?

What is 0.1071?

100

What is the solution to 10C8? Solve on paper.

What is 45?

100

A restaurant has a meal special that allows you to choose one of three salads, one of five sandwiches, and two of fifteen side dishes. How many possible combinations are there for the meal?

What is 1,575?

200

What is the formula for Computation?

What is nCr?

200

What is the formula for Permutation?

What is nPr?

200

You need to put your reindeer, Prancer, Quentin, Rudy, Jebediah, in a single-file line to pull your sleigh. However, Rudy and Prancer are best friends, so you have to put them next to each other, or they won fly. How many ways can you arrange your reindeer?

What is 12?

200

What is the solution to 14C6? Solve on paper.

What is 3,003?

200

In how many ways can 6 differently colored rose bushes be planted in a row that only has room for 4 bushes?

What is 360?

300

What is the solution of 5C2?

What is 10

300

What is the solution of 3P2?

What is 6?

300

There are 9 students performing in the talent show, 7 of whom will perform a dance. If 6 students are randomly chosen to perform during the first section of the show, what is the probability that all of them will perform a dance? 

What is 0.0833?

300

What is the solution to 21C4? Solve on paper.

What is 5,985?

300

What is the solution to 24p6?

What is 96,909,120?

400

There are 16 members of a club, 4 will be selected for leadership positions. How many combinations of leaders are possible?

What is 1,820?

400

10 people want to sit on a bench, but the bench only has 4 seats. How many arrangements are possible?

What is 5,040?

400

Mark has 5 pants and 7 shirts in his closet. He wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. How many weeks can he do this for?

What is 5?

400

What is the solution to 36C7? Solve on paper.

What is 8,347,680?

400

What is the solution to 12p11?

What is 479,001,600?

500

A restaurant serves its steak entree cooked rare, medium, or well done. The customer has the choice of salad or soup, with one of two salads or one of 4 soups. The customer also chooses between one of three soft drinks as well as water or milk. How many unique variations are there to the entire steak dinner?

What is 90?

500

How many ordered samples of 5 cards can be drawn from a deck of 52 cards without replacement?

What is 311,875,200?


500

You have been asked to judge an art contest with 15 entries. In how many ways can you assign 1st, 2nd, and 3rd place?

What is 2,730?

500

What is the solution to 45C9? Solve on paper.

What is 886,163,135?

500

Lisa is dressing warm for the winter. She'll be layering three shirts over each other, and two pairs of socks. If she has fifteen shirts to choose from, along with ten different kinds of socks, how many ways can she layer up?

What is 245,700?

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