FUNdamental Counting Principle

What is a sample space?

• a process with an uncertain result

• a possible result of an action

• a list of all possible outcomes

• a single outcome

Tags

CCSS.HSS.CP.A.1

The cafeteria is serving three kinds of sandwiches:

tuna(T), chicken(C), & peanut butter(P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the sample space of possible outcomes?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW

Tags

CCSS.7.SP.C.8

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

Tags

CCSS.7.SP.C.8

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

Tags

CCSS.5.NBT.B.5

CCSS.5.OA.A.2

Find the total number of outcomes for picking a day of the week and a month of the year.

How many different outcomes could you have if you rolled 4 different six-sided dice?

• 1,296, because 6 x 6 x 6 x 6 = 1,296

• 24, because 6 x 4 = 24

• 36, because it 6 x 6 = 36

• 360, because 6 x 5 x 4 x 3 = 360

Tags

CCSS.7.NS.A.2

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

Tags

CCSS.HSS.CP.B.9

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

Find the total number of possible outcomes for your smartphone lock screen if you have to use 4 numbers from 0-9, and you CAN reuse numbers. (For instance, you could use: 2222 or 7337)

• 6,561

• 5,040

• 10,000

• 1111

Tags

CCSS.HSS.CP.B.9

Find the total number of possible outcomes for your smartphone lock screen if you have to use 4 different numbers from 0-9, meaning, you CANNOT use the same number more than once? (For instance, this code is acceptable: 2540, but this one is NOT: 1223)

• 5,040

• 1234

• 10,000

• 40

Tags

CCSS.HSS.CP.B.9