One company has 700 employees. Prove there are at least two employees that have the same inítials. (Assume the English alphabet is used and people do not use their middle names in the initials.)

Q: Assume that the users connect to a computer using terminals that are polled by the computer in a…

A: Given that the users connect to a computer using terminals that are polled by the computer in a…

Q: Is the UPC code valid  2 3 5 6 7 1 2 8 9 4 2 ?

A:

Q: A catalog begins with three dlistinct letters +ollowed by four distinct nonzero digits. what is the…

A:

Q: A pharmaceutical firm wishes to alloc

A: Given, Newspaper Magazine Limitations 1 0 1 0 1 1 500 1000 50,000 50,000 250,000

Q: How many 3-letter codewords can be formed if: At least one of the letters is to be chosen from the…

A:

Q: if ABC is congruent to ADC which is NOT true by CPCTC?

A: According to CPCTC, corresponding parts of congruent triangles must be equal. Corresponding parts…

Q: Show that 19nni se enoion gaiwollo tolo nsis oirlyan b-a b- |

A:

Q: Illustrate the replection principle. with. the help oD examples?

A: Given:-  Illustrate the reflection principle with examples.

Q: A lock code requires 3 digits followed by 2 letter(s). How many different lock codes are possible?…

A:

Q: Describe the circumstances in which post tests are used, and exlain why these tests are neccasary

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Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: Show that if there are 30 students in a class, then at least two have last names that begin with the…

A: We are given that there are 30 students in the class. We will assume that every student has first…

Q: has a postgraduate qualificat IS 0.3 that he has adequate wor me has both the postgraduate…

A:

Q: how may letters does cat have?

A: The given word is 'cat'.

Q: the vast majority of visa and discover credit cards have 16 digit card numbers. the first digit is…

A:

Q: a. if the characters should not repeat? b. if the characters repeat? c. if the first 3 characters…

A: Given: A social media account requires a 6-character password. Passwords should only contain numbers…

Q: How many permutations of the letters of the word SECURITY end in a consonant? (Here, Y is a…

A:

Q: How many distinct 9-letter words starting with “i” can be formed from the word “committee”?

A:

Q: How many 6​-letter code words can be formed from the letters O, A, Y, H, K,W if no letter is​…

A: Given: 6 letters = {O, A, Y, H, K, W}

Q: Use a Venn Diagram to solve: Out of 191 houses for sale in a specific zip code, 94 have a swimming…

A:

Q: How many counterexamples are needed to prove that a statement is false?

A: Suppose P(x) be the statement.

Q: Suppose that a license plate consists of three uppercase letters followed by three digits. How many…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here use counting principle

Q: 2 € {2}, Select one: O True O False

A: Given, 2∈2 According to the properties of set when x∈A then it means that x is the element of the…

Q: On February 20, 2004, the Ohio Bureau of Motor Vehiclesunveiled the state’s new license plate…

A: The license  plate contains 3 letters from A to Z followed by 4 digits from 0 to 9. Now all the…

Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: Assume that a password must be at least 8 characters long and include at least 1 digit and at least…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: --to-one o? [ Se

A:

Q: Is the following true or false? ∅ ∈ {∅,a}

A:

Q: O PPOve Ok disppove : FOR any any cets A and B,

A:

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: at 20-year old women on a special diet will have an average weight of less than 125 Ibs. A as the…

A:

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: There are 29 students in precalculus; in how many ways can students fill the Top five?

A: Permutation: A permutation is an arrangement of objects in a definite order.   Let n is the total…

Q: In how many ways can the word SPACE be misspelled?

A: The number of permutations of n distinct elements is n!

Q: Use Venn diagrams to verify the distributive laws.

A: Solution

Q: what is the value of in 1

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: San Jac must assign a new employee a 7 digit phone number, but the first three digits must be 526.…

A: In 7 digit phone number 3 digits are given. So (7-3)=4 digits we have to fill. There are 10 numbers…

Q: A number like 12,321 is called a palindrome because it reads the same backwards as forwards. Answer…

A: A number like 12,321 is called a palindrome because it reads the same backwards as forwards.

Q: what is under the 15872 is that a 9

A: The given integral,   ∫-44∫15∫1ex2y2zdz dx dy

Q: There are 10 students in a class. In how many ways can an instructor give exactly three students a…

A: Given that there are 10 students in a class. And exactly 3 students are given by a grade A.

Q: How many three-letter words (with or without meaning, without repetition of letters) are formed with…

A:

Q: There is an even number betuween 200 and 300 that is divisi ble bu 5 and also by 9. What is te…

A:

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

Q: Consider strings of lowercase letters. How many strings are there of lowercase letters of length…

A:

Q: How many license plates can be made using either two uppercase English letters followed by four…

A:

Q: A license plate is to consist of 3 digits followed by 5 uppercase letters. Determine the number of…

A:

Q: Determine true or false. -π ≥ -π

A: Given: Statement: -π≥-π To determine: Given statement is true or false.

Q: Prove that at any party where people are shaking hands, at last two people will have always shaken…

A: Let there are N people at the party so a single person can shake hands with some number between 0…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.