Permutations and Combinations Quiz

What is the value of 8!

• 40320
• 36
• 362880
• 5040

₂₀P₂

• 20
• 380
• 6840
• 116280

How many ways can two jellybeans be chosen from a bag of 15 jellybeans. 

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

There are 3 different mathematics courses, 5 different science courses, and 2 different history courses. If a student must take one of each, how many different ways can this be done?

• 10

• 12

• 30

• 60

Evaluate the following: ₇C₃

• 210

• 5040

• 35

• 6

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040
• 35
• 28
• 840

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

There are 7 students in a class: 5 boys and 2 girls.

If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 71.4%

• 14.3%

• 28.6%

• 2.9%

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers.

What is the probability that the committee is made up of 3 parents and 1 teacher?

• .837

• .213

• .576

• .451