2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and 3.

Q: How many distinct expressions exist for the number?

A: The concept of "distinct expressions" for a number can vary depending on what you mean by it. Here…

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: 2. In how many numbers with seven distinct digits do only the digits 1-9 appear?

A:

Q: To answer this question, you will need to (a) create an integer based on the leftmost digit in your…

A:

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: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: Using the digits 2 through 9, find the number of different 6-digit numbers such that: a. Digits can…

A: Answer:- Given digits are -  2,3,4,5,6,7,8,9  Total number of digits= 8

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

A:

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-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

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: 14. The digits 6, 2, 3 and 8 are each written on a separate sheet of paper. The number of 2-digit or…

A: The total possible two-digit numbers are given by the value of 4P2. Total possible two-digit numbers…

Q: Find 1000 consecutive composite integers, without writing them out.

A: Let m be a positive integer then m consecutive comoposite positive integers is given by  (m+1)! + 2,…

Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

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

A:

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

A:

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: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

Q: d 3?

A: for a 4 digit even number

Q: how many odd 3 didgit numbers can be formed from 0,1,2,3,4,5,6 and if each digit can be used once

A: For three digit odd number, the last digit of the number must be odd. Thus, the last digit of the 3…

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

A:

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

A:

Q: How many different numbers can be formed using all the digits of 3 334 777?

A:

Q: Compute P9,2. (Enter an exact number.)

A: