Math 30-2 Assignment #3

What is the value of 5!

• 25
• 15
• 120
• 720

 $\frac{\left(n-4\right)!}{\left(n-5\right)!}$  What does the following expression simplify to:

•  $\left(n-5\right)!$  

•  $\left(n-4\right)!$  

•  $n-5$  

•  $n-4$  

Answer explanation

The solution to this equation is n=_ (enter the number only)

(a)  

Evaluate the following expression: $_9P_2$  

• 18

• 72

• 181440

• 362880

Answer explanation

Rennie has 20 apps to organize on his phone. He puts 6 of them in one folder. How many different ways are there to arrange the folder? (enter the number only)

(a)  

Answer explanation

Manny is the captain of the 15-member soccer team that has won his city's championship. How many ways can Manny and 2 other players line up to receive the championship trophy, if the captain must be first in line? (enter the number only)

(a)  

Answer explanation

How many distinct permutations can be made from the word INDEPENDENCE?

• 1763200 permutations

• 1664200 permutations

• 1863200 permutations

• 1663200 permutations

How many different lineups can be formed by nine players on a softball team? (enter the number only)

(a)  

Answer explanation

How many different permutations can be created when Anna, Betty, Carlo, Dan, and Ethan line up to buy movie tickets, if Ethan always stands immediately behind Betty?

• 24

• 48

• 120

• 240

Answer explanation

Tina is playing with a tub of building blocks. The tub contains 3 red blocks, 5 blue blocks, 2 yellow blocks, and 4 green blocks. How many different ways can Tina stack the blocks in a single tower? (enter the number only)

(a)