2. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. (a) How many 4 digit opening combinations are possible if no digit is repeated? (b) How many 4 digit opening combinations are possible if digits can be repeated?

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

A:

Q: 3. A group of seven people consists of four women and three men. From this group, four people will…

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Q: A staff number of a BigHit company is composed of 2 non-vowels uppercase alphabets and 3 digit…

A: GivenA staff number of a BigHit company is composed of 2 non-vowelsuppercase alphabets and 3 digit…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

Q: 1. Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the…

A: Venn diagram is used to represent data or probability of an event. Each event in the Venn diagram is…

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

A:

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

A:

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: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

A:

Q: 2. In how many ways can a fragger, a sniper and a medic be chosen from among 7 soldiers? 3. Suppose…

A: As per bartleby guidelines expert have to answer first question only..

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

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: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: 4. How many 5 digit numbers can be formed if a) the digits 2-8 are available and there must be at…

A: 4. It is required to form 5 digit numbers under two different sets of conditions.

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: 1. Frankie has to create a new Virginia Tech password. Suppose Frankie wants his password to be 7-9…

A: The given data is:

Q: A small combination lock on a suitcase has 3​wheels, each labeled with the 10 digits 0 to 9. How…

A:

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…

A: A  rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…

Q: 4. A computer center acquires eight different models of laptops of the same color and shape. If they…

A: We have in all 8 laptops in a drawer and choose 5 from them.

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

A:

Q: 2. In a group of 6 males and 4 females, four technologists are to be selected. In how many different…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…

A: Total number of doors in the lecture hall=5

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

A:

Q: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: if a coin is tossed 4 times, and then a standard 6 sided die is rolled 4 times and a group of 3…

A: Given Coin is tossed. 4 times  Standard 6 sided die. Rolled 4 times  Group of 3 cards drawn  without…

Q: Each employee at a large company is to be issued an ID number; the ID number is to consist of one…

A: Digits sequence '000' taken as valid ID, if not one less from the answer below. There is no such…

Q: 2. How many different license plates can be made if each plate contains a sequence of three…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

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: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: 1. A password consists of 5 letters (not case sensitive) followed by 2 digits. How many passwords…

A: 1. The password consists of 5 letters(not case sensitive) followed by 2 digits.

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: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

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

Q: A social security number has 3 digits, then 2 digits, then 4 digits.  If the first 3 digits can’t be…

A: To determine: Different possible cards can be made. Given data: A social security number has 3…

Q: How many ways can a president, vice-presidnt, secretary, and treasurer be chosen from a club with 8…

A: In this problem, order is important because once someone is chosen as a position they can not be…

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

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

A: We have find on of more..

Q: 5. A married couple wishes to have four children. How many possible arrangement of children can be…

A: 5. It is given that a married couple wishes to have four children.

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

A: Topic = Permutation and combination

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

A:

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: 1. Taking into account identical letters, how many ways are there to arrange the word HUDSONICUS…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.