1. A registration code begins with three numbers. If the possible numbers are 1, 2, 7, 9 and 0, how many different permutations of these numbers can be made if no number is used more than once? 2. In how many ways can a fragger, a sniper and a medic be chosen from among 7 soldiers?

Q: 1. A school issues each student an ID with a unique code consisting of two lowercase Tolowed by…

A: The id will consist of a unique code with 5 characters to be filled. First, we will have two letters…

Q: The letters of the word CREAM are printed on 5 cards. How many 3-, 4-, or 5-letter code words can be…

A: Given word is"CREAM"No.of letters in word "CREAM" = 5

Q: In how many ways can a 4-member studernt council consisting of a president, a vice president, a…

A: given that there are 9 students out of which we have to make a 4-members committee for students…

Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: 6. A safe uses a code that is made up of two letters followed by three digits. How many possible…

A:

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 passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 1. There are 8 ways to send 4 different gift boxes into 2 indistinguishable houses (each house may…

A: To check given statement is True or False.

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

A:

Q: 5. How many possible pemutations are there in the letters of the word PHILIPPINES?

A:

Q: 1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A:

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

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: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…

A:

Q: (1). How many different words (including nonsense words) can you make by rearranging the letters of…

A: 1) The given word is “EFFERVESCENCE”. The total number of letters is 13. There are 2 C’s, 5 E’s,…

Q: Question 26

A: Solution: 26. Combination: If there are n objects in order to select r objects combinations should…

Q: (a) In how many different ways can the letters of the word wombat be arranged if the letters wo must…

A: Using permutation we can get the number of ways the letters can be arranged to make words

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: 1. The license plates for cars in Nova Scotia typically have 6 digits. The first three digits are…

A:

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: How many permutations of a 7-digit phone number exist, assuming that numbers may be repeated and any…

A:

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: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

A:

Q: 1 How many ways can the letters of the word "PROMISE" be arranged so that the vowels always come…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: 1. A combination lock consists of the 26 letters of the English alphabet. If a 3-letter combination…

A:

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: A computer operator must select 4 jobs from 10 available jobs waiting to be completed. How many…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: 3. How many different 5-digit identification tags can be made a.if the digits can be used more than…

A: Given: Number of digits in an identification code = 5 Total number of digits = 0 to  9 = 10

Q: How many different flag signals, each consisting of 7 flags hung vertically, can be made when there…

A: Given: Total number of flags = 7 Number of red flags = 3 Number of blue flags = 2 Number of white…

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: 16) How many unique license plate numbers can be created made up of 3 letters (26 possible) followed…

A: The places of letters which are 26 possible can have the following pattern as they can not be…

Q: The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet…

A: As per our guidelines we are suppose to do only one question 1)GivenThe identification code on a…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: 1. A registration code begins with three numbers. If the possible numbers are 1, 2, 7, 9 and 0, how…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Permutation is used to find the possible arrangements in an experiment where the order of…

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

A:

Q: 2.21 Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how…

A: Given: Number of sight seeing offered=6 Number of days of tour=3 Determine the number of ways in…

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM,…

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations…

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: ) 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…