How many 4-digit numbers in the range 1000-9999 are there such that the digits are distinct? A 9x8x7x6 B 9x9x8x7 10x9x8x7 104

Q: 3.73 How many seven-digit numbers with different digits belonging to the set ${3,4,5,6,7,8,9}$ and…

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Q: How many words can be generated us

A: How many words can be generated using the letters of MARRIAGE.

Q: How many phone numbers are there of the form 962-xxxx? repeated is possible Answer:

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Q: How many five-digit numbers are there with different digits and simultaneously: a) divisible by 4 b)…

A: For the number to be divisible by 4, the last two digits must be a multiple of 4.Hence The last two…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: It is given that the first character has to be a Letter Digits : 0,1,2,3,4,5,6,7,8,9 : 10…

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7

A: The first digit of the 7-digit numbers can be any number from 1 to 7 (. Hence, the first digit can…

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: Consider all positive integers with 3 different digits. (Note that 0 cannot be the first digit.) (1)…

A: Iam assuming that the numbers from 0 to 99 are not valid because they are not 3 digit numbers, so it…

Q: Two-digit numbers are formed, with replacement, from the digits 0-9. How many numbers are divisible…

A: Assume that the two-digit numbers are formed, with replacement, from the digits 0-9. From that, find…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

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Q: a) How many unique ways can you rearrange letters in the word 'bookkeeper'? b) How many 10-character…

A: We have to find number of arrangements of given word.

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 60 24 120

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Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

Q: 3.54. How many even five-digit numbers, in which all digits are different, can be formed from the…

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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 three-digit numbers can be formed under each condition? (a) None of the digits can be 5.…

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Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 5. X…

A: when there are no condition applied we have 10 choices for each digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Q: How many positive integers between 50 and 100 a) are divisible by 7? Which integers are these? b)…

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Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 120 24

A: We have given that the digits 1, 2, 3, 3, 5.

Q: 3. Two-digit numbers are formed, with replacement, from the digits 0-9. a. How many two-digit…

A: Answer - Two -digit number are formed , with replacement, from the digits 0-9.

Q: 6. How many integers from 1 through 100 must you pick in order to be sure of getting one that is…

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Q: How many 7-character license plates are possible if the first three characters must be an uppercase…

A: Given,no.of upper case letters =26no.of digits from 0 to 9 =10

Q: How many permutations of the 26 letters of the English alphabet do not contain any of the strings…

A: We have to find how many permutations of the 26 letters of the English alphabet do not contain any…

Q: How many odd four-digit numbers in which all digits are different can be formed from the digits…

A: Given numbers : 1, 2, 3, 4, 5, 6, 7 Total no. of digits given = 7 We have to pick 4 numbers and…

Q: 27. Determine the number of n-digit numbers with all digits odd, such that 1 and 3 each occur a…

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Q: 5. Find all possible single digits that can be placed in the square so that the number 1,427,4 2 is…

A: We have to find the possible digit such that the given number is divisible by 2,3,4, and 9.

Q: How many distinct rearrangements of the letters in millenia are there? Give your answer as an…

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Q: (a) Suppose that there are k distinct positive integers that divide an odd positive integer n.…

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Q: Find all base 5 digits X such that (124X213)5 is divisible by (2)5 3. а. b. (4)5

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Q: 12 belongs to the set of natural numbers

A: The natural numbers (i.e. counting numbers) are numbers which are used for counting and ordering.…

Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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Q: Find out how many distinct three-digit numbers can be formed using al the digits of 1, 2, and 3. * O…

A: To find  Number of distinct three digit numbers can be formed using all the digits 1,2 and 3.

Q: how many perfect numbers are there between 1,000,000 and 9,000,000

A: Given- The numbers between 1,000,000 and 9,000,000. To find- The perfect square number between the…

Q: countable in number, such that

A: Given : W=Iα:α∈A is a collection of open intervals, then there exists a sub-collection , say Ii :…

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: How many zero divisors are in Z,, where n = 32547?

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Q: .76 How many six-digit numbers with different digits belonging to the set ${0,1,2,3,4,5,5}$ and…

A: 6 digit forming a 6 digit number  The total number of 6 digit different numbers = 6!-5! = 720-120 =…

Q: How many three-digit code can be made where the order of digits is not important? The possible…

A: Three digits code is to be prepared by  0,1,2,3,4,5,6,7,8,9. That is with the help of the 10 digits…

Q: A phone requires a 5 digit passcode and none of the digits from 0 to 9 can be repeated. How many…

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Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

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Q: How many positive integers between 100 and 999 inclusive a) are divisible by 7? b) are odd? c)…

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Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

Q: Find all base 5 digits X such that (124X213)5 is divisible by а. (2)5 b. (4)5 3.

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Q: How many terms are there in the expansion of (a+4b)^20 ?

A: Given expression, (a+4b)20

Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

A: In the given problem we have to show that in any collection of 7 or more natural numbers there are…

Q: How many five-digit numbers are there composed of different digits belonging to the set…

A: Givenset is {0,1,2,3,4}

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.