Show:
Factorial
Fundamental Counting Principal
Permutation
Combination
Mash-Up
100

Write out 6!= Do not evaluate

6!=6*5*4*3*2*1

100

What operation is used when using the Fundamental Counting Principal?

Multiplication

100
Identify n and r: There are 8 people in a contest. They will receive first, second, and third place. How many ways can that happen?
n=8 r=3
100
Identify n and r: There are 10 toppings to choose from at a Pizza Place, and you get to choose 5. How many pizza possibilities are there?
n=10 r=5
100
What are the 4 topics that will be on the quiz?
Factorial, FCP, Permutations, Combinations
200

 On your calculator, evaluate 

(3!)/(2!)

3

200

Francis is getting ready for her test. She needs to have one pencil, pen, and an eraser. She has 4 different pencils, 3 different pens, and 3 different erasers. How many ways can she have a pencil, pen, and an eraser on her desk?

36

200
There are 8 people in a contest. They will receive first, second, and third place. How many ways can that happen?
336
200
There are 10 toppings to choose from at a Pizza Place, and you get to choose 5. How many pizza possibilities are there?
252
200
Combination or Permutation? Jim, Kelly, Donna, Rebecca, Paul, and Will are on the student council. They need to decide who will be president and vice president. How many ways can this happen?
Permutation
300

On your calculator: 

The parking lot has 8 spots for the 8 teachers to park in. How many ways could all 8 teachers park in the parking lot?

8!=40320

300
Assuming any number can repeat (including 0), how many 7 digit telephone numbers exist?
10,000,000
300
What do you type into your calculator? Jim, Kelly, Donna, Rebecca, Paul, and Will are on the student council. They need to decide who will be president and vice president. How many ways can this happen?
6 nPr 2
300
Given this problem, what do you type into your calculator? A contest has the top three people moving on to the semi-finals. How many ways can this happen if there are 11 contestants?
11 nCr 3
300
Combination or Permutation? Twelve people are in a writing contest. The top three people will move on to the next round. How many ways can this happen?
Combination
400

Ms. Sivanich is picking names out of a hat. There are 10 names, and she picks out one name at a time, without replacement. How many different ways are there for her to pick those 10 names out of the hat?

3,628,800

400
A code on the security facility has 4 digits and 3 letters. If no digits can repeat, but letters can, how many codes are possible?
88,583,040
400
Jim, Kelly, Donna, Rebecca, Paul, and Will are on the student council. They need to decide who will be president and vice president. How many ways can this happen?
6 nPr 2=30
400
A contest has the top three people moving on to the semi-finals. How many ways can this happen if there are 11 contestants?
165
400
Combination or Permutation? There are 8 people in a contest. They will receive first, second, and third place. How many ways can that happen?
Permutation
500
Faisa works at a bookstore. She needs to put 5 books on display in the front window for customers to see. How many ways can she arrange the books?
120
500
A password has 8 digits. The last three digits cannot be a 0 or 1. How many passwords could there be?
51,200,000
500
How many ways can a gold, silver, and bronze happen from a race of 10 people?
10 nPr 3 =720
500
Combination or Permutation? A contest has the top three people moving on to the semi-finals. How many ways can this happen if there are 11 contestants?
Combination