Permutations & Combinations

How many ways can a committee of 4 be chosen from 10 people? (Order doesn't matter)

• 120

• 210

• 5040

• 252

In a class of 30 students, how many ways can a president, vice-president, and secretary be chosen? (Order matters)

• 24,360

• 4,060

• 27,000

• 2,430

From a group of 7 Sophomores and 5 Juniors, how many committees of 3 can be formed consisting of 2 Juniors and 1 Sophomore? (Order doesn't matter - 2 separate combinations, then multiply together)

• 35

• 90

• 70

• 60

If there are 8 flavors of ice cream, how many ways can you choose 3 flavors? (Order doesn't matter)

• 56

• 336

• 1,680

• 40

A password consists of 5 different letters. How many different passwords can be created if the letters can't be repeated? (Order matters)

• 17,576,000

• 7,893,600

• 65,780

• 120

How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 if no digit is repeated? (Order matters)

• 120

• 24

• 360

• 720

From a group of 12 people, how many different pairs of individuals can be formed? (Order doesn't matter)

• 66

• 132

• 24

• 144

How many ways can 4 students be seated in a row of 8 chairs? (Order matters)

• 1,680

• 70

• 5,040

• 168

If a pizza place offers 12 toppings, how many different pizzas can be made with exactly 3 toppings? (Order doesn't matter)

• 120

• 720

• 210

• 220

In a lottery, 5 numbers are chosen from 50. How many different combinations of numbers can be chosen? (Order doesn't matter)

• 2,118,760

• 11,238,513

• 1,000,000

• 254,251,200