Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate and solvecounting problems.1. You get a new debit card and need to select a four digit pin. How many different pins are possible?(Repeats are possible)2. How many different pins are possible if there are no repeated digits?3. If you don't yet know, John really likes coffee. There are 36 major countries that produce coffee(according to the International Coffee Organization). If his mom wanted to get him five bags of coffeefrom five different countries for a gift, how many different gift combinations are there?

It is 4 digit pin.The objective is to find how many different pins are possible with repetition and…

Answered: Learning Target C2 Core: I can compute…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The chapter is called Counting Methods
Jordan has seven t-shirts, four skirts, twenty pairs of socks, and four pairs of shoes in their closet at the end of the month. Part 1: Why the methods used in the previous two problems would be inefficient in determining the number of different outfits Jordan could wear. Fundamental Principle of Counting, determine how many outfits Jordan could wear. How many phone numbers can be made if all the digits (that is, numbers 0-9 which is 10 digits) need to be filled in and any single digit number (0-9) can be used for any digit? How many phone numbers can be made if the first digit must be 2, the second digit must be a number in the range 4-6, the third digit must be a number in the range 7-9, and the last seven digits can be any single digit number 0-9? There is a bag full of 30 different colored and/or patterned marbles. How many different three marble combinations can you have if you pull marbles balls out of the bag? Part 2: Write down (in factorial form) the total number of…
Which of the following ?
There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are eight choices for the first wire, seven for the second wire, six for the third wire, etc.)
Determine whether the following statement makes sense or does not make sense. A student used the Fundamental Counting Principle to determine the number of permutations of the letters of the word ENGLISH. Choose the correct answer below. C O A. The statement does not make sense because the Fundamental Counting Principle only applies to integers, not letters. O B. The statement does not make sense because permutation problems cannot be solved using the Fundamental Counting Principle. O C. The statement does not make sense because the student could have only used the formula for P, to determine the number of permutations. O D. The statement makes sense because permutation problems are Fundamental Counting problems that can be solved using the Fundamental Counting Principle.
A standard-issue 2020 New Jersey license plate had one letter, then two digits, followed by three letters. New Jersey DOO SPA Garden State These plates were not allowed to have letters D, T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2020?
4. To practice his counting, my grandson invented a card game he calls “Facetime”. He takes two decksof 54 cards (including the jokers) and lays them all out on the floor in a line, face up, mentally numberingthem (1, 2, 3, etc., up to number 108). He then turns every other card face down, all the way down theline (so then, all the even-numbered cards are face down). Next he looks at every third card and flips it:if it’s face down, he turns it face up, and vice versa, all the way down the line. He then flips every fourthcard, and then every fifth. He continues this way, counting by every number (by 6’s, then by 7’s, etc.)until he has finished counting by 108’s (which doesn’t take long, since that’s how many cards there are.)When he’s done, which cards are lying face up?
To use a debit card, you must enter a four-digit pin number. How many pin numbers are possible if a bank gives the restriction that the numbers cannot repeat? O 8,100 O 6,561 O 5,040 10,000
There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are six choices for the first wire, five for the second wire, four for the third wire, etc. Enter an exact number.)
pls answer number 2
A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick from). 1. How many different lock codes can there be if the digits can be repeated? For example, a code can be 0000. 2. Explain how you got your answer. 3. How many different lock codes are there if each digit may only be used once? For example, a code can not be 0103 because 0 cannot be used more than once. Explain your thinking. 4. Explain how you got your answer.

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