Probability4 (Permutations and Combinations, Expected Value)

What is the formula for Permutations?

• n!
• ^n!∕_(n-r)!
• ^n!∕_(n-r)! r!
• ^r!∕_{(r-n)! n!}

Tags

CCSS.HSS.CP.B.9

What is the formula for Combinations?

• ^n!∕_(n-r)! r!
• ^n!∕_(n-r)!
• ^r!∕_{(r-n)! n!}
• n!

Tags

CCSS.HSS.CP.B.9

Determine whether the question would be a permutation or combination: Thirty-two students have applied to serve on student council, where all the positions are the same. There are only 6 openings. How many ways could the openings be filled?

• Combination

• Permutation

• Neither

Tags

CCSS.HSS.CP.B.9

Determine whether the question would be a permutation or combination: To complete a quiz, you must answer 3 questions from a list of 6 questions. In how many ways can you complete the quiz?

• Permutation

• Combination

• Neither

Tags

CCSS.HSS.CP.B.9

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

Tags

CCSS.HSS.CP.B.9

When three-digit telephone area codes were first put in place, the first number could be any digit (2-9), the second number could only be 0 or 1, and the third could be any digit (0-9). How many possible area codes can be created with this format?

• 24

• 126

• 140

• 160

Tags

CCSS.HSS.CP.B.9

A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if the team must have 2 women?

• 6

• 35

• 210

• 331

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

• 10/91

• 1/20

• 3/16

• 36/91

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?

• 5/7
• 1/7
• 2/7
• 1

Tags

CCSS.HSS.CP.B.9

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 33/66640

• 5/52