Assignment 1 : Permutation and Combination Part 2

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

• 100

• 10

• 720

• 1000

Tags

CCSS.HSS.CP.B.9

NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated, how many can be made?

• 156,000,000

• 156,000

• 100,000,000

• 100,000

Tags

CCSS.HSS.CP.B.9

Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?

• 456976
• 104
• 160
• 87880

Tags

CCSS.HSS.CP.B.9

Mr. Wilson has a briefcase with a three digit combination lock. He can set the combination himself. His favorite digits are 3,4,5,6 and 7. Each digit can be used at most once. He his only going to use these numbers for his combinations. How many different combinations are possible?

• 60

• 10

• 24

• 125

Mr. Wilson has a briefcase with a three digit combination lock. He can set the combination himself. His favorite digits are 3,4,5,6 and 7. Each digit can be used at most once. He his only going to use these numbers for his combinations. How many of these combinations would be odd?

• 60

• 36

• 75

• 80

How many 3-digit numbers contain at least one 6?

• 1000

• 729

• 271

• 720

How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated?

• 50

• 40

• 30

• 20

How many 3-digit numbers can be formed using the digits 4, 5, 6, 7, 8 if the digits can be repeated?

• 60

• 125

• 729

• 1000

How many 4-digit numbers can be formed using the digits 4, 5, 6, 7, 8 if the digits cannot be repeated?

• 60

• 20

• 5

• 35