Which list shows three equivalent representations of the same number?

Q: How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

A: In the given problem we have to find how many numbers in the set 1, 2, 3, . . ., 346 are divisible…

Q: How many different license plates can be generated if the configuration of the first 4 characters…

A: We have to find the number of combination of 7 characters from which, first 4 characters are letters…

Q: If a number is not divisible by 6, then it is not divisible by 3. true or false

A: If a number is not divisible by 6, then it is not divisible by 3.

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

A:

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

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

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

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

A: The given digits are 0, 1, 2, 3, 4, 5, 6 4-digit numbers are formed using these numbers.

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 even numbers can you form from the digits 1, 2, 3 and 4?

A: We have to find the number of four-digit even numbers formed from the digits 1, 2, 3 and 4. Then we…

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

A:

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

A: We have to find total number of four-digit numbers :

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: Show how to use the definition of LCM to deter- mine the least common multiple of 44 and 55.

A: Given, Using definition of LCM find LCM of 44 and 55

Q: From the letters a, b, c, d, and e, how many four-letter groups can be formed if each letter can be…

A:

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

A:

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A:

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: Explain the notation µ; and o; appropriately.

A:

Q: find all possible three-digit numbers that are of the form 75_ and are divisible by both 3 and 2

A: Since the number is divisible by 2 and 3, it must be divisible by 6.

Q: Show that 2 + V5 is imational number

A:

Q: find powerset of A = {0, 0, 1}

A:

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

A:

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

A:

Q: How many 9 digit numbers are there that use each of the digits 1,2,3,4,5,6,7,8,9 exactly once?

A: To form a 9 digit number We know that each 9 digit places are must be one of the 9…

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 40. If there are no restrictions…

A: From 0 to 40, there are 41 integers.  Since there are no restrictions  so we can pick the first…

Q: How many numbers in the range 1000 - 9999 have a repeated digits?

A: They are 4 digits number

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: Some automobiles have four-button locks. To gain entry, push each of the four buttons, in a…

A: We have find four button...

Q: Select all the expressions that are equivalent to log, 36. O log, 2 + 2 log, 3+ log, 2 O log, 9 +…

A: Given logb36

Q: How many five digit numbers containing each of the digits 1,2,3,4,5 exactly once are divisible by…

A: * SOLUTION :-  From the given information the calculation as follows .

Q: Show calculation.

A: Intervel of convergence is [10,12].

Q: How many four-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: Find the average of the first 50 natural numbers is……………….

A:

Q: How many distinct integers do we have to pick in order to have two that have the same remainder when…

A: To find - How many distinct integers do we have to pick in order to have two that have the same…

Q: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

Q: Use different ways to show all possible combinations in this situation

A: Here given ,  there are three brand for cell phone  and there are 3 color for cell phone

Q: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

A:

Q: Find the number of positive integers ≤ 1000 that are not divisible by 5, 13, or 31?

A: .  Symbol of Greatest Integer Function  To Find: Number of positive integers ≤ 1000 that are not…

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

A:

Q: How many ways can you rearrange the numbers 1, 2, 3, 4, 5, 6, and 7? *

A:

Q: The library labels each book with a five-digit code to identify the book in their computer system.…

A:

Q: The decimal representation of an ________ number neither terminates nor repeats.

A: Given:  To find decimal representation of an number which is neither…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.