How many 4-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7 and 8, if each digit can be used only once? b. How many of these are odd numbers? c. How many are greater than 4321?

Q: 12. How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are…

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Q: In how many ways can a 4-member studernt council consisting of a president, a vice president, a…

A: given that there are 9 students out of which we have to make a 4-members committee for students…

Q: How many 6-character license plates are possible if the first character must be a letter that is not…

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Q: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

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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: 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: (a) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that…

A: Any number which has 0 or 5 in the unit place is divisible by 5.  Case 1: when unit digit is 0 The…

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

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Q: Consider the following digits: 0, 1, 2, 3, 4, 5, and 6. if a three-digit number is to be formed and…

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Q: If a series of license plates is to be prouder that all have the same pattern of three letters…

A: Answer: Total letters=26 Numbers=0 to 9 = 10 Total number of license plates possible with repetition…

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: 10. How many numbers greater than 500 can be formed from the digits 2, 3, 5, 8, and 9 using each…

A: Given Data : The given numbers are : 2,3,5,8 & 9 To Find : Total numbers greater than 500 formed…

Q: Given the digits 1, 2, 3, 4, and 5, How many different three-digit numbers can be made if…

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Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

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Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

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Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

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Q: . How many 4 -digit numbers can be formed in 1, 2, 3, 4, 5, 6 and 7 if repetition is not allowed?…

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Q: In a different plan for area​ codes, the first digit could be any number from 0 through 3​ the…

A: Given Data: The first digit could be any number from 0 through 3 and  the second digit was either 3…

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

Q: From the digits 1,2,3,4,5,7 and8 a) How many numbers of four different digits each can be formed? b)…

A: Given  The digits 1,2,3,4,5,7and 8  a). How many numbers of four digits each can be formed. b). How…

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: form a 4-digit number from the digits 1, 2, 4, 7, and 8, using each at most once. How many…

A: 1, 2, 4, 7 and 8. To find the number of four digit numbers, we find the number of permutations of 5…

Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: ou are to form a 4-digit number from the digits 1, 2, 3, 4, 6, and 8, using each at most once. How…

A:

Q: a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit…

A:

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: you are to form a 5-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.…

A: Given information- We have given the digits = 1, 2, 3, 4, 7, 8, 9 We have to form 5-digit number…

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

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: How many ways can a three-person executive committee (president, vice-president, secretary) be…

A: The number of member on the board of director  =14

Q: The numbers of users that check social media daily is the same for "35 to 44" and "45 to 54" age…

A: We have to analyze the bar graph.

Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

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: (e) How many integers are there from 1,0 through 9,99 (b) How many odd integers are there from 1,000…

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Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

Q: In how many different ways can five books be selected from a twelve-volume set of books?

A: Total books are 12.

Q: If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75…

A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

Q: In how many different ways can the letters of the word “CORPORATION” be arranged so that the vowels…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit…

A: The even numbers formed using those digits can have 1 digit or 2 digit or 3 digits. 1 digit even…

Q: In how many ways can you arrange books of the on a shelf if there are 4 of the same kind of Math…

A:

Q: Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made…

A: Given digits:-  2, 3, 5, 6, 7, 9 we have to calculate the followings:- a) How many 3 digit number…

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

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: How many different ways can 6 identical hardback books, 3 identical paoerback books, and 3 identical…

A: Given that there 6 identical hardback books, 3 identical paperback books and 3 identical boxed…