A jersey has two digit number.in how many ways can the number be arranged if 1)No double digit are allowed 2)double digit are allowed

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: Assume that the users connect to a computer using terminals that are polled by the computer in a…

A: Given that the users connect to a computer using terminals that are polled by the computer in a…

Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: A website requires users to set up an account that is password protected. If the password format is…

A:

Q: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

A:

Q: There are 24 Letters in the Greek Alphabet. How many faternity and sorority names can be formed if…

A: For 2 digits: There are 24 choices for each letter. A 2-letter fraternity name can be made if…

Q: In how many ways can 5 letters be posted in 4 post - boxes?

A: We have 5 letters with us and 4 post-boxes.  Now, any letter can be put in any post-box.

Q: How many license plates can be made using either three digits followed by three uppercase English…

A: 22,464,000 license plates can be made using either three digits followed by three uppercase English…

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: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: A license plate is to consist of 4 digits followed by 2  uppercase letters. Determine the number of…

A: Solution-: Given: A license plate is to consist of 4 digits followed by 2  uppercase letters. We…

Q: 1. What number is 25% of 68? 2. What is 60% of 20?

A:

Q: How many 6 digit numbers are divisible by 5? Assume repetition is allowed.

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Q: As of April 2006, roughly 50 million .com web domain names were registered   (e.g., yahoo.com). a.…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: How many different letter arrangements can be made from the letters in the word of…

A: Given word is COMMUNICATION"c" is repeated 2 times"m" is repeated 2 times"N" is repeated 2 times"I"…

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: In how manyways can 7 honorable people be seated in a round table?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: There are 24 letters in the Greek alphabet. How many fraternities may be specified by choosing three…

A: There are 24 letters in the Greek alphabet. a). The number of fraternities specified by choosing…

Q: A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?

A: given that 8 beads of necklace we can find this by using

Q: In how many ways can 7 beads can be arranged to form a necklace?

A: We have to arrange 7 beads in a circle so that we can form a necklace. Now we fix one bead and the…

Q: License plates consist of 4 digits followed by 4 upper-case letters. Plates that start with 00 are…

A: This question belongs to permutation and combination's.for detailed solution refer the attached…

Q: How many three-digit numbers can be formed using the numerals {3, 4, 5, 6, 7} without repetition?

A: Given  Five numbers { 3,4,5,6,7} then How many three-digit numbers can be formed using the numerals…

Q: 4. In how many ways can eight beads be arranged in a bracelet?

A: We have to find number of ways...

Q: A four-person committee is to be elected from an organization's membership of 11 people. How many…

A: Formula used:  nCr=n!(n-r)!r!

Q: How many three-letter codes can be made from the letter of the word LOCKED if the first and the last…

A: The number of letters required to make a code is 3. The word from which code should be made is…

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

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: A code consists of selecting 3 not-necesarily-distinct digits, followed by a 3-letter "word" chosen…

A: Total ways of selecting 1 Digit: {0,1,2,3,4,5,6,7,8,9} = 10 Letters = {A,B,C,X,Y,Z} = 6

Q: A code consists of selecting 4 not necessarily- distinct digits, followed by a 2-letter “word”…

A: There are total 10 numbers. A code of 4 digits can be made in 104 ways. Now the number of ways 2…

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 three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if…

A: Hence,three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if repetition…

Q: A modernistic painting consists of triangles, rectangles, and pentagons, all drawn so as to not…

A: From given information consider the equations, x+y+z=40              ...13x+4y+5z=153…

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: In how many ways can the digits in the number 8,633,333 be​ arranged?

A: Given  Number 8,633,333.

Q: 3. License plates are made using 2 letters followed by 3 digits. How many plates can be made, if a)…

A: Given that  License plates are made using 2 letters followed by 3 digits. The license plate contains…

Q: A hotel reservation number consists of 3 digits, followed by 2 letters, followed by 2 digits. How…

A:

Q: If 72 students which represent 2/3 of the class participated in the Alay Lakad, how many students…

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Q: In how many different ways can seven keys be arranged on a key ring if the keys can slide completely…

A: Here we have to find the number of different ways can seven keys be arranged on a keyring if the…

Q: 5. In how many ways can 7 boys be seated in a circular order?

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: A hotel reservation number consists of 5 digits, followed by 2 letters, followed by 2 digits. How…

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 three-letter code words can be constructed from the first ten letters of the Greek alphabet…

A: We have to find how many three-letter code words can be constructed from the first ten letters of…

Q: How many 5​-letter code words can be formed using a 27​-letter ​alphabet? ​(a) if repetition is​…

A:

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: The digits 5,6,7 annd 4 are to be arranged to form a 7 digit interger. How many different integers…

A: The choices for each digit is 5, 6, 7 and 4. So each digit has 4 choices.    There are total 7…

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

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.