Permutations
Quadratic Functions
100

There are 12 athletes at a track meet. How many different ways can they finish first, second, and third?

1320

100

Determine the value of y, if x is −12.

y= x2+10


154

200

There are 23 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?

10626

300

A lock has a 3-number code made up of 18 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?

4896

400

There are 17 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, Treasurer, and Secretary?

57120

500

Keshawn is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?

24