When testing for current in a cable with ten ​color-coded wires, the author used a meter to test three wires at a time. How many different tests are required for every possible pairing of three ​wires

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: How many different tests were required for every possible pairing of five wires?

A:

Q: A website requires users to set up an account that is password protected. If the password format is…

A:

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

A:

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

A: Given Twelve teachers are to be assigned to three schools

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

A: Given data Twelve teachers are to be assigned to three schools.

Q: A nine character password has been randomly assigned by using capital and lower case letters. In how…

A: Given : A nine character password has been randomly assigned by using capital and lower case letters

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: assume that there 8 fire stations that need new chiefs and 12 qualified candidates In how many…

A: Given that, There are 8 fire stations Number of qualified candidates = 12

Q: When testing for a current in a cable with 12 color coded wires, the author used a meter to test 4…

A:

Q: In certain state, all license plates consist of from four or five symbols chosen from the 26 letters…

A: We need to find the number of license plates in which repetition of symbols is not allowed. The…

Q: A ship carries 4 signal flags of different colors. How many different signals hoisting these flags…

A:

Q: When testing for current in a cable with seven color-coded wvires, the author used a meter to test…

A: Determine the number of test required for every possible pairing of three wires. The number of test…

Q: A pass code for an account consists of 2 letters followed by 3 symbols. If letters may be chosen…

A:

Q: assume that there 8 fire stations that need new chiefs and 12 qualified candidates. In how many…

A: We have to find  number of ways..

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: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: The Reverend minister of a church always insist that every member shake hands with every other…

A: Given: Number of person is, n=90. Number of times required handshake is 1 time. The objective is…

Q: On the first day of the Minnesota state fair 1 person enters through the gate in the first minute,2…

A: To find: The number of people enters through the gate in seventh minute. Given: The number of people…

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…

A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…

Q: When testing for current in a cable with eight ​color-coded wires, the author used a meter to test…

A: From the given information, there are eight color-coded wires and author tested five wires at a…

Q: How many different signals can be made using AT LEAST 4 distinct flags if there are 7 different…

A: Solution:  Different signals can be made using; AT LEAST 4 distinct flags if there are 7 different…

Q: Suppose a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

Q: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman…

A: From the given information, there are 6 men and 5 women. That is, the total number of persons is…

Q: Suppose that 175 heads and 225 tails resulted from 400 tosses of a coin. Does this appear to be a…

A:

Q: on a basketball team be filled with 10 In how many ways can 5 starting players (no positions)…

A:

Q: A group of five students studying for a bar exam has formed a study group. Each member of the group…

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

Q: When testing for current in a cable with ten ​color-coded wires, the author used a meter to test two…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: According to the given information, Total number of color-coded wires n = 6 Number of wires needed…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

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: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: Using the combination formula the required number of tests can be obtained as:

Q: When testing for current in a cable with seven color-coded wires, the author used a meter to test…

A: 7 colour coded wires Select 5 at a time

Q: When testing for current in a cable with twelve color-coded wires, the author used a meter to test…

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

Q: How many different signals can be made by hoisting three yellow flags, two green flags, and two red…

A: Given yellow flags=3 green flags=2 red flags=2

Q: When testing for current in a cable with eleven color-coded wires, the author used a meter to test…

A: The combination formula is shown below. Here, n represents the total number of objects and r…

Q: select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters. In how many…

A:

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: itially, 10 people have an infection. The next day, every infected people infects one more person.…

A: To find the number of days it will take for 1280 people to infect.

Q: Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two…

A: There are six colored flags on a vertical flagpole out of which two are red and four are green.

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: A pass code for an account consists of 2 letters followed by 3 symbols. If letters may be chosen…

A: Total number of letters available for password, m = 12 Total number of symbols available for…

Q: How many different license plates are possible if each plate consists of 2 letters followed by a 4…

A: here given license plates consist 2 letters followed by 4 digits

Q: Red and blue ceramic tiles are laid according to a pattern such that for every 22 red tiles used, 3…

A: Given that there are total 300 ties of Red and blue colour .according to pattern every 22 red…

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

A:

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

Q: assume that there 6 fire stations that need new chiefs and 13 qualified candidates. In how many…

A: There are total 13 qualified candidates.

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.