. How much different lock combinations can be made using three letters followed by 4 digits given that:  A) digits and numbers can be repeated. B) Digits can be repeated but not letters C) letters can't be repeated, no digit can be repeated and the last digit has to be a 4

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

A: Since you have asked multiple subparts, we will solve the first three subpart questions for you. If…

Q: a blood​ drive, 6 donors with type O+ ​blood, 5 donors with type A+ ​blood, and 2 donors with type…

A:

Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False

A:

Q: Assume that the committee has 14 members, and that 4 different members are to be given special…

A: We have to find probability..

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: 5. a) How many 10-letter 'words' can be formed from the letters in SUC ESSFUL, if each letter can be…

A: Given word : SUCCESSFUL Number of letters = 10 Number of C = 2 Number of S = 3 Number of U = 2

Q: A shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel purchase 5…

A: Given that 12 television sets contains 3 defective sets. We have to find  how many ways can a hotel…

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: From among the 36 teachers in a college, one principal, one vice-principal and the teacher-in-charge…

A: It is given that there are 36 teachers in a college. We have to appoint one principal, one…

Q: From a class consisting of 12 CE majors, 10 ECE majors, and 9 ME majors, in how many ways can a…

A: From a class consisting of 12 CE majors, 10 ECE majors, and 9 ME majors. We want to consist group of…

Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

A: In question, Given that A, B, C, D and E are 5 alphabets then three alphabet are chosen from them…

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: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: A computer password must be 3 letters followed by 5 digits (0 through 9). How many different…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Given that  There are 10 cars. n=10 There are 8 parking rows. Each row contains 15 spots. r=8 The…

Q: An overnight express company must include five cities on its route. How many dif- ferent routes are…

A: no. of cities = 5

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

A: The word is "PARVAMONSTRA"  Arrange the word in such a way that it begins and ends with a consonant.…

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: 10. A salesperson living in city A wishes to visit five cities B, C, D, E, and F. a. If the cities…

A:

Q: A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done…

A: Given a committee of 5 persons is to be formed from 6 men and 4 women

Q: How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters…

A: question:

Q: A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a.…

A:

Q: Suppose that A = {red,white} and B= {white,blue} Then AUB=.?

A: We know that A∪B = x : x∈A or x∈B

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

A:

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: A carton of 15 light bulbs contains one that is defec-tive. In how many ways can an inspector choose…

A:

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: How may combinations can be made from B,E,A,U,T,Y, if the letters are taken three at a time?

A: Given, The word BEAUTY  has 6 letters To find the number of combinations can be formed by taking…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be…

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies

Q: In how many different ways can seven keys be arranged on a key ring if the keys can slide completely…

A: Here we have to find the number of different ways can seven keys be arranged on a keyring if the…

Q: i How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here use combination and permutation

Q: In how many ways can 3 blue books and 4 red books be arranged on a shelf if a red book must be on…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: From a group of 7 men and 6 women, five person are to be selected to form a committee so that at…

A: Given, No of men=7 No of women=6 Number of people to be selected in a committee  = 5Minimum number…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: If we have to fill n boxes with no repetition with n objects then then there are…

Q: i. How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here, AS PER GUIDELINES  I HAVE CALCUALTED FIRST MAIN  QUESTION  HERE USE COMBINATION , TOTAL…

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.

Q: ) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…