Counting Principle and Combinations

Which of the following can have no repeating choices and the order does NOT affect the amount of possible outcomes?

• Combination

• Permutation

• That multiplication thing...

• I don't know. Ask someone else!

Which of the following can have no repeating choices and the order affects the amount of possible outcomes?

• Combination

• Permutation

• That multiplication thing...

• I don't know. Ask someone else!

In permutations and combinations, what does the n represent in nPr and nCr?

• Total number of people/things you can pick from

• Number of spots you have to fill

• N is for narwhal

• Nothing! N means nothing to me! And I'm not being dramatic!

In permutations and combinations, what does the r represent in nPr and nCr?

• Total number of choices you can make

• Number of choices that can be made

• R is for rhino

• That's what pirates say

5 different roads from city A to city B and 5 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B?

• 5

• 10

• 25

• 55

A student is selecting 5 different Geography books, 4 different Chemistry books, and one of 7 different Science books. In how many different ways can a student select them?

• 3

• 16

• 63

• 140

You are taking a survey on your experience at Taco Bell. For the first five questions you can answer Below Average, Average, or Above Average for each question. The last three questions you can respond with either Agree or Disagree. How many total outcomes are there for this survey?

• 8

• 15

• 1125

• 1944

What is P(9,4)?

• 36

• 126

• 3024

• 362880

What is C(9,4)?

• 36

• 126

• 3024

• 362880

The company Sea Esta has ten members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?

• 40

• 210

• 5040

• 3628800