Permute & Combine: The Ultimate Jeopardy Challenge

Category 1

100

Find:  ₆C₃  

20

Correct!

200

Find:  ₁₀C₂

45

You did it!

300

Find: ₇C₃

35

Good job!

400

Find: ₉C₃

84

Excellent!

Category 2

100

Find:  P(10,3) 

720

Nice!

200

Find:  P(4,3)

24

Very Good!

300

Find:  P(8,3)

336

Great!

400

Find:  P(7,3)

210

Perfect!

Category 3

100

In how many ways can 5 students line up for a picture?

120

Fantastic!

200

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 if no digit is repeated?

24

Well done!

300

How many ways can the letters of the word MATH be arranged?

24

Outstanding!

400

A bookshelf has 7 different books. In how many ways can 3 books be arranged on the shelf?

210

Well done!

Category 4

100

From 6 students, how many ways can you choose 2 to represent the class?

15

Bravo!

200

A committee of 4 is to be formed from 10 people. In how many ways can this be done?

210

Fabulous!

300

A menu has 10 dishes. In how many ways can you choose 2 for a meal combo?

45

Terrific!

400

A basketball coach wants to select 2 team captains from 14 players. How many ways can this be done?

91

Excellent!