Consider the 6-digit numbers, with distinct digits (no repetition), that can be formed using the digits 0-9 How many total numbers you can create ? How many of them begin with digit 4 ?

Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: Given that, 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5,…

Q: A 6-volume encyclopedia is to be placed on a shelf. How many incorrect arrangements are there?

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: How many digits does a number 8^(n). 5^(3n+4)  have, if n belongs to N ?

A: Given data Number: 8n .5 (3n+4) We have to find digits in number.

Q: Q4 : Consider the 5 - digit numbers , with distinct digits ( no repetition ) , that can be formed…

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Q: 45. How many ways are arrange the letters in UNIVERSALLY so that no two vowels and also the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many arrangements are there of the letters of the word CHEESECAKE under each condition?…

A: According to the given word; Total number of C = 2 Total number of H = 1 Total number of E = 4 Total…

Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

Q: ich there are no repeated digits?

A: Available digits:   0,1,2,3,4,5,6,7,8,9 Total availeble position: 3 position   1st digit  2nd…

Q: 1. Suppose a club has 22 members. a. How many ways can they form a 5-person committee? b. Once the…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be nine and (a) only odd…

A: As per Bartleby guidelines for more than 3 parts asked for a question, only 3 is to be answered.…

Q: 6. Each telephone number in a city consists of 7 digits. а. How many telephone numbers are possible…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

A: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

Q: A department store wants to send codes for $15 off a $75 purchase to the subscribers of its e-mail…

A: Given Information:  There are 23 letters to be used and 10 digits to be used to create a code To…

Q: An organization sponsored a raffle where they were to sell all 500 tickets sequentially numbered…

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Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions?

A: From the provided information, The digits are as follow: 2, 3, 4, 6, 7 Total numbers = 5

Q: • Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: five-digit-numbers can be formed from the six digits 2, 3, 5, 6, 7 and 0. If repetitions are not…

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Q: 3.52. How many telephone mobile numbers are composed of nine digits such that: (c) each successive…

A: The digits that can fill the numbers are 0,1,2,3,4,5,6,7,8,9 This is an example of permutation

Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: 5. a. How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b.…

A: There are five digits 2, 3, 4, 6, 7  we have to find 3-digit numbers that can be formed from the…

Q: 10. How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: To Find : a) number of integers between 11 and 200 that are exactly divisible by 7. b) Sum of…

Q: How many different license plates are possible if each contains 3 letters (out of the alphabet's 26…

A: The objective is to find different possible license plates if each contains 3 letters followed by 2…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given: All area code has 0 or 1 as a middle digit and first digit could not be 0 or 1 and third…

Q: License plates in Edmonville consist of a digit other than 0 or 9, followed by any 2 letters, which…

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

A: (1) We have 6 digits and 4-digit number is to be formed. We need to choose 4 digits randomly and…

Q: Q4: Consider the 6-digit numbers, with distinct digits (no repetition), that can be formed using the…

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Q: In how many possible ways can you arrange the numbers 123456 such that: A) There is one block of…

A: Consecutive and ascending numbers : 1,2,3 2,3,4 3,4,5 4,5,6 Number of arrangements =?

Q: (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each…

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Q: Q4: Consider the 5-digit can be formed using the digits 0-9 mbers, with distinct digits (no…

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Q: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: 11:54: If n EN andn<2000, how many numbers n have the property that the sum of the digits of n and…

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Q: An object with negligible air resistance is dropped from the top of theWillis Tower in Chicago at a…

A: In this question we will use basic of algebra. We will simply write an expression of equations of…

Q: 8) For a segment of a radio show, a disc jockey can play 6 songs. If there are 12 songs to select…

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Q: How many different​ three-digit numbers can be formed using the digits 4, 5, 2, and 8 with​…

A: The given digits 4,5,2,8.  and repetition allowed

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. (a) In how…

A: Solution

Q: Standard automobile license plates in a state display 3 digits (from 0-9), followed by 4 letters…

A: In the question it is asked to calculate the number of plates possible when the plate consists of 3…

Q: set of two - digit numbers obtained from the digits 1

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Q: Q2:- A) How Many ways you can write 12 digits number from the digits 1,2,3,4,5,6,7,8,9,10,11,12 if…

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Q: 5. a) How many different car license plates can be made using-three letters followed by four digits…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: How many can 3 digits be formed using the digits from 1 to 5 if the digit 2 is never there in the…

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Q: 3) Among a group of seven (not necessarily consecutive) integers, how many must be divided by 5 to…

A: This is a problem related to divination rule of the mathematics. Based on the general concept we…

Q: How many 5-digit numbers can be formed using the digits 2, 3, 4, 5, and 6 without repetition? With…

A: To find how many   5 digit number  can be formed using  2,3,4,5 and 6 without  repetition and then…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

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Q: D. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: To solve:Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number…

Q: Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.…

A: From the provided information, The telephone number consists of a sequence of seven digits. a) If…