QUESTION 1

Combinatorics is a subfield of mathematics that focuses on counting, essentially enumerating how many arrangements are possible, including contexts where arrangements are ordered or unordered.

Agree or disagree?

Agree

Disagree

QUESTION 2

According to a probabilistic principle sometimes known as the Fundamental orMultiplicationCountingRule,when an event hasmoptionsduring a first phase andnoptions during a second phase, then the total number of options ism x norm n.

Agree or disagree?

Agree

Disagree

QUESTION 3

Consider this context.

Mega Mart executives are planning to build a new store in a nearbystate. They have scouted out six different locations, and are contemplating two sizes for this new store: compact neighborhood store or expansive super store. How many total options do they have?

QUESTION 4

The Fundamental Counting Rule principle applies even when there are more than two options. Simply multiply all the optionsper phase or stage together for a compound event.

Agree or disagree?

Agree

Disagree

QUESTION 5

Consider this context.

The deli counter at Mega Mart has a lunch special. It includes three choices of salad,five choices of sandwich,four choices of dessert, and six choices of beverage.How many total lunch specials are there?

QUESTION 6

An ordered counting arrangement is known as a permutation, symbolized asor, wherenis the total number, andris the number being ordered in some special manner.

Agree or disagree?

Agree

Disagree

QUESTION 7

Try the following spreadsheet function to determine, or a permutation of seven customer invoices, selected two at a time in an ordered manner.

=PERMUT(7,2)

Record your answer here.

QUESTION 8

An unordered counting arrangement is known as a combination, symbolized asor, wherenis the total number, andris the number being arranged in some unordered manner.

Agree or disagree?

Agree

Disagree

QUESTION 9

Try the following spreadsheet function to determine, or a combination of seven customer invoices, selected two at a time in an unordered manner.

=COMBIN(7,2)

Record your answer here.

QUESTION 10

ComputeP(9,9) .

QUESTION 11

ComputeC(9,9) .

QUESTION 12

Factorials are a special product of counting numbers from 1 to the number of interest,n. Thiscan bewritten asn!

Agree or disagree?

Agree

Disagree

QUESTION 13

Factorials are a special product of counting numbers from 1 to the number of interest,n.

The spreadsheet function is =FACT(

Agree or disagree?

Agree

Disagree

QUESTION 14

Use the spreadsheet function to affirm the answer to12customers lining up in orderoutside a Mega mart super center before the store opens for the day,or12!

The spreadsheet function is=FACT(12)

QUESTION 15

Attempt the same problem using the permutation spreadsheet function,=PERMUT(12,12)

Since both involve ordered arrangements of 12 customers in 12 spots in line, youdo notget the same answer.

Agree or disagree?

Agree

Disagree