If every telephone in the world is assigned a number that contains a country code 1 to 3 digits long, that is, of the form X, XX, or XXX, followed by a 12-digit telephone number of the form NXXX-NXXX- XXXX. How many different telephone numbers would be available worldwide under this numbering plan?

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

A:

Q: In the original plan for area codes in 1945, the first digit could be any number from 2 through 9,…

A:

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7 and 8 if non…

A:

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The first letter is A. So 1 choice for the first letter. For the…

Q: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

Q: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A: Given that there 50 mice with a number for identification. drug A is used on 17 mice out of 50 drug…

Q: by three digits. The letters A, B, C, and D and the digits 6 and 9 will not be used. So, there are…

A:

Q: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A:

Q: The access code of a security system consists of nine digits. How many different codes are avaliable…

A: Given : The access code of a security system consists of nine digits.

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

A: Answer:----.              Date:----6/10/2021 TOPIC:Combinatorics. Here, no restrictions on the…

Q: Compute 3!, 7!, 8!, and 9!.

A: Factorial Rule:The total number of ways k different objects can be arranged where order of the…

Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

Q: The class mark of the class 90- 120 is

A:

Q: 1. To create an entry code for a push-button door lock, you need to first choose a letter and then,…

A: 26000 codes can be created

Q: Given the characters A,B,C,H,I,T,U,V,1,2,3,and 4, how many seven character passwords can be made? (…

A:

Q: If 162 strings of lights were disposed of last week because they were deficient, how many strings of…

A:

Q: If cell A1 contains 55 and cell B1 contains 11, which entry into cell C1 results in 66?

A: A1=55 B1=11

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: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A: Given,  Total number of laboratory mice = 50 Drug A is to be given to 17 mice. Drug B is to be given…

Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

A:

Q: The name of a file in a computer directory consists of two uppercase letters followed by a digit,…

A: we have to name of a file in a computer directory consists of two uppercase letters followed by a…

Q: 14 1. How many code words of any length (including 1-letter words) can be formed from the letters in…

A: Given problem Given that   We have to find the number of code words of any length ( including…

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: A computer byte consists of eight bits, each bit being either a 0 or a 1. Assume that characters are…

A:

Q: A five character computer password can be formed from three digits, followed by two lower case…

A: There are totally 26 lower case letters of the alphabets(a-z) and 10 digits (0-9). A five character…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: Who did Srinivasa Ramanujan (math genius) start writing to?

A:

Q: A large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: The number of alphabets to choose from is 26 i.e. A to Z, and the number of digits to choose from…

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: Suppose 34% of students chose to study German their junior year, and that meant that there were 272…

A:

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

A:

Q: A lock uses the letters A through H on the first dial and the digits 0 through 9 on the second and…

A:

Q: A. How many arrangements of all letters can be made from the word COPROCESSORS

A: The given word is COPROCESSORS"

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 19.  If there are no restrictions…

A: Given: 3 numbers to unlock the lock.

Q: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A:

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A: We will use basic combinatorics.

Q: From the digits 0, 1, 2, 3, 4, and 5, how many 3-digit numbers can be formed if digits may be…

A:

Q: Assuming that no one has more than 1,000,000 hairs on the head of any person and that the population…

A: We can use Pigeonhole principal to answer this question.

Q: Who is the president of Nanmac Corporation in Framingham, Massachusetts?

A: Who is the president of Nanmac Corporation in Framingham, Massachusetts?

Q: A computer byte consists of eight bits, each bit being either a 0 or a 1. Assume that characters are…

A: Since there are two possibilities for each bit and there are 8 bits in a byte a total…

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 large corporation has found that it has “outgrown” its current code system for routing inter…

A: The problem is concerned with counting the total number of codes available in the current (old) and…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…