AlgII 11.1 Permutations and Combinations easy

How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas?

• $2P11\times3P8$

• $11P2\times8P3$

• $11C2\times8C3$

• $2C11\times3C8$

In a train yard, there are 4 tank cars, 12 boxcars, and 7. flatcars. Ho many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flat cars? (Order is not important.)

• $4C2\times12C5\times7C3$

• $4P2\times12P5\times7P3$

• $4\times12\times7$

• $\frac{4\times12\times7}{2\times5\times3}$

There are 6 people interviewing for 4 cashier positions at Gamestop. How many ways can these 4 positions be filled?

• 0

• 360

• 15

• 24

Jeremiah needs to pick 3 pairs of socks for his trip to Costa Rica. How many ways can he choose if he has 9 pairs?

• 84

• 27

• 504

• 108

You have 8 classes to take next year. In how many different ways can you arrange these 8 classes?

• $40,320$

• $1$

• $0$

• $64$

Seven players are trying out for the team captain and co-captain. How many ways can the coach fill these positions?

• 21

• 42

• 35

• 84

You need to pick 3 pizza toppings from 10 toppings. How many different pizzas are possible?

• $0$

• $30$

• $720$

• $120$

You are asked to list, in order of preference, your top 3 movies of the year. You saw 14 movies. How many ways can your top movies be arranged?

• $0$

• $42$

• $364$

• $2184$

How many ways can I arrange the letters in the word GOOGLE to make a new (nonsense) word?

How many new 3-digit combinations can you make using these 0-9 (all ten digits) digits, if no digit can be repeated?

• $1000$

• $720$

• $120$

• $1$