How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5 digits?

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

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Q: The local​ seven-digit telephone numbers in city A have 480 as the first three digits. How many…

A: Given, the local seven-digit telephone numbers in city A have 480 as the first three digits. There…

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings?

A: We have given that 2 pizza toppings be chosen from 12 available.

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

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Q: How many 5 letter codes are possible from the first 7 letters of the alphabet? a.) letters can be…

A: Excel is used to obtain the line and bar graph for years of education and years of experience,…

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: How many 4-digit combinations can be made from the digits 0-9?

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

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

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Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: How many four-digit even numbers can you form from the digits 1, 2, 3 and 4?

A: We have to find the number of four-digit even numbers formed from the digits 1, 2, 3 and 4. Then we…

Q: How many different ways can 5 calculators be arranged in the cabinet from a group of 15?

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

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Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

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Q: Of 20 possible​ books, you plan to take 3 with you on vacation. How many different collections of…

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Q: Of 18 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6…

A: Given, Total  number of books = 18

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

Q: How many different tests each with 15 questions can be constructed from a test blank containing 32…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements (order…

Q: How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

A: We have to find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5.The…

Q: How many numbers consisting of five different digits can be made from the digits (0, 1 , 2, 3, 4, 5,…

A: ConceptPermutation = n!/(n-r)!Given digits are 0,1,2,3,4,5,6,7,8,9

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: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

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

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Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: How many 5 digit numbers can be formed if each one uses all the digits 0,1,2,3,4 without repetition?

A: We have 5 digits 0,1,2,3,4

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed? *

A: Introduction: It is required to find the number of possible 5-digit numbers that can be made using…

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: How many different numbers of five digits can be made using the digits 2,2,3,3,3?

A: The objective is to find how many different numbers of five digits can be made using the digits…

Q: How many four-digit odd numbers less than 7000 can be formed using the digits 2, 3, 5, 7, 8, and 9?

A: To determine four digits odd number less than 7000

Q: How many three – digit numbers greater than 300 can be formed with the digits 1, 2, 3, 4 and 5 if no…

A: According to the provided information, The digits are 1, 2, 3, 4, 5 and no repetitions are allowed?…

Q: How many 4-digit numbers can be formed from 1,2,3,4 and 5 if no digit is repeated?

A: Given digits 1,2,3,4,5 Repeatation not allowed

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: To determine :  How many ways can 120 identical packages be loaded into 10 delivery trucks where…

Q: Six numbered marbles are to be placed into three bags so that there are two marbles in each bag. How…

A: We have given that There are six marble into  We have to place it into 3 bag

Q: How many license plate containing two letter followed by three digit can be formed 2 If the letters…

A: License plate made up of 5 alphanumeric in which first two position taken by letters then last three…

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

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Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

A: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

Q: How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?

A: Here we have to find  How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?…

Q: how many ways can the books be arranged on a shelf if books of the same subject must be placed…

A: here given  there are total 4 different mathematics books and 5 different science book here use…

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

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

A:

Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits:  0 2 4 6 8 to find :  how many number greater than 60, 000 can be formed also…

Q: How many different numbers of 3 digits can be formed from the numbers 0, 1, 2, 3, 4, 5, 6 7, 8?

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Q: A student must answer 7 of the 10 essay questions that are on an exam. How many ways can the student…

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Q: 2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many…

A: here use counting principle  for combination  nr = n!(n- r)! r!

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.