Permutations and Combinations Quiz

How many ways can you arrange the letters of the word FACTOR?

• 120

• 720

• 360

• 240

How many ways can you choose two jellybeans from a bag of 15?

• 105

• 210

• 120

• 45

How many different ways can five textbooks be arranged on a shelf?

• 120

• 60

• 24

• 720

How many groups of 3 toys can a child choose to take on a vacation from a toy box containing 11 toys?

• 165

• 330

• 55

• 220

How many different sets of 6 questions for a test can be chosen from a file containing 22 questions?

• 74613

• 112

• 540

• 1540

How many ways can Laura color a map with 4 adjacent regions if she has 15 colored pencils?

• 32760

• 50625

• 15120

• 3600

How many ways can a teacher select 5 students from a class of 23 students to create a bulletin board display?

• 33649

• 100947

• 6435

• 20349

How many different ways are possible if Sally must be in the middle of a lineup of 7 children?

• 720

• 1440

• 360

• 120

How many different ways are possible if Hannah and Brian must be together in a lineup of 7 children?

• 1440

• 720

• 360

• 240

A video store has 27 new release movie posters. How many ways can the manager choose 8 for a promotion that gives them away to the same person?

• 2220075

• 31824

• 4686825

• 1562275