1. You have an ID number containing from 9 digits. How many IDs get the number "6" as their second or third digit?

Q: ᴠ. ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ɢʀᴇᴀᴛᴇꜱᴛ ᴄᴏᴍᴍᴏɴ ᴅɪᴠɪꜱᴏʀꜱ ᴏꜰ ᴇᴀᴄʜ ᴘᴀɪʀ ᴏꜰ ɴᴜᴍʙᴇʀꜱ ᴜꜱɪɴɢ ᴇᴜᴄʟɪᴅᴇᴀɴ ᴀʟɢᴏʀɪᴛʜᴍ. ₁₆.…

A:

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: Would you rather have $10,000,000 and a brand new BMW, or 1¢ today, 2¢ tomorrow, 4¢ on day 3, 8¢ on…

A: Option 1 is $10,000,000 and a brand new BMW   Option 2 is 1¢ on day 1, 2¢ on day 2, 4¢ on day 3, 8¢…

Q: Your 7 digit student identification number is randomly generated.  If the digits cannot repeat, how…

A: Permutation:  The number of ways to arrange all the elements of a set into some sequence or order.…

Q: 2. How many plate numbers consisting of three letters and three digits can be created using the…

A: We have to find plate numbers consisting of three letters and three digits. We know that total…

Q: What if the jelly bean machine gives 3 jelly beans to the first customer who put in a coin, 4 to the…

A:

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: 2.How many license plates consisting of 6 digits (0 to 9) have their digits in nondecreasing order?

A: The numbers can start with 1, 2, 3, 4 or 5. As if it starts with any other number, it won’t be able…

Q: How many six-digit license plates can be made if no plate begins with 0 or 6

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Q: 1. He will repair 2 broken cars in a week 2. Out of 26 pending cars, he will fix more than 50% in a…

A:

Q: 8. a) Determine the total number of different Five-card hands that can be made from a standard deck…

A:

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: 8. Explain why in any group of 1500 people there must be at least 3 people who share first and last…

A: To find- Explain why in any group of 1500 people there must be at least 3 people who share first and…

Q: Suppose 1/7 of the employees of certain companies work in the SOutheastern region. If the company…

A: Given that, 1/7 of the employees of certain companies work in the Southeastern region. Number of…

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: Suppose that a license plate consists of three uppercase letters followed by three digits. How many…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here use counting principle

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

A:

Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: How many different 7-digit phone numbers can have the digits 7,3,5,2,7,3 and 2?

A:

Q: A social security number contains nine digits such as 074-66-7795. How many different social…

A: The social security number contains nine digits. The digits are choosen from the set {0, 1, 2, 3, 4,…

Q: How many license plates can be made using either four uppercase English letters followed by five…

A: Explanation To find - how many license plates can be made by using either four uppercase English…

Q: 1. If six (6) people greet each other at a meeting by shaking hands with one another, how many…

A: Understand the problem: Total number of hand shakes when six people hand shake with one another.…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: ************ 2. Construct S( 1,3) XP,

A: The cartesian product of A and B is defined by VA×B=VA×VB and the edge set is defined by a1,b1 is…

Q: 3) 46 is 31% of what?

A: To find 31% of 46

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: Given: There are 5digits 0 , 1 , 2 , 3 , 4 We need to count number of  5 digit number plates…

Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7, 8

A: here odd numbers are those ends with 1,5,7 (from given digits)

Q: 4. If six people greet each other at a meeting by shaking hands with one another, how many…

A: There are total 15 handshakes will take place

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…

Q: How many license plates (using the English alphabet )can be made using 2 or 3 letters followed by 2…

A: A permutation is an arrangement in a definite order of a number of objects taken some or all at a…

Q: A license plate is to consist of 4 digits followed by 5 uppercase letters. Determine the number of…

A: Digits : 0,1,2,3,4,5,6,7,8,9 Odd : 1,3,5,7,9 Odd = 5 options  Odd = 4 options 8 options 7 options…

Q: Consider a bracelet that is made up of 12 different charms. In how many ways a designer can design…

A: AS PER BERTLEBY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS ARE…

Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

Q: {11, 14, 24} O {15, 24, 37} {9, 13, 22} O {15, 30, 42}

A:

Q: 22, what is

A:

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

Q: How many five-digit telephone numbers with pairwise distinct digits can be formed ?

A: It is required to construct a five-digit telephone number with pairwise distinct digits. The…

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: A corporate ID number consists of any three numerical digits, followed by any two letters of the…

A: We have to  find the no. Of ways...

Q: 5. How many license plates can be made using either two or three uppercase English letters followed…

A: The following information has been provided: The total number of uppercase English letters=26 The…

Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…

A: Given: Number of digits = 6 No digits is used more than once.

Q: 1. List 4 numbers between -1 and 1

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.