How many 9-digit strings contain at most one 0, and end in a digit that is a square number?

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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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: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: How many numbers greater than 3000 can be form with the digits 0,2,3,4 a.  if repetition is not…

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Q: How many six-digit positive integers contain exactly one one, two twos and three treor? How many…

A: First note that here six digit integer can start only with 1 or 2. If it starts with 1 the remaining…

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: 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: You have a four letter string, where each of the five vowels has to be followed by a consonant,…

A: According to the given information, it is required to find the possible number of strings of 4…

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: c) List vertically all the ways each number 0-35 can be represented as a sum of two or more…

A: Assume that limiting the numbers to integers. Let's try a few and see if we can find a pattern:…

Q: How many 4-diğit humbérš čâh bě fórméd from the digits 1, 3, 5, 6, 8, and 9 if no repetition is allo…

A: Given digits 1, 3, 5, 6, 8 and 9 (Total 6 numbers) We want to find number of 4 digit numbers such…

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: A state’s license plate has 7 characters. Each character can be a capital letter (A−Z), or anon-zero…

A: According to the given information, it is required to find the number of license plates that starts…

Q: In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many…

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Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: Suppose 170 geology students measure the mass of an ore sample. Due to human error and limitations…

A: n=170 Mean=86 Standard deviation=3

Q: In a comparison between the mean waiting times of the customers in two different branches for Fast –…

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Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

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Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: A user’s password to access a computer system consists of three digits and two letters.…

A: A permutation of a set is an arrangement of its members into a sequence or if the set is already…

Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: bank PIN is a string of four digits, each digit 0-9. How many choices are there for a PIN if the…

A: Given A bank PIN is a string of four digits, each digit 0-9. Odd numbers=1,3,5,7,9

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…

A: GivenNo.of downloaded songs(n)=23no.of  songs to use in CD player(r)=8

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

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Q: How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is…

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: You need to create a four digit code. You can use the digit 035. The first is it cannot be zero. And…

A: We have to find given no. Of arrangement.

Q: How many different ways a 4- digit code can be made if no digit can be used more than once

A: Four digit code are We need to form 4-digit code using  0,1,2,3,4,5,6,7,8,9 digits. The number of…

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

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Q: Among all the numbers between 20000 and 70000, including the numbers 20000 and 70000, how many each…

A: The total number of numbers between 20,000 and 70,000 is 70,000−20,000+1=50,001. First calculate the…