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

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A:

Q: Counting techniques: A lottery ticket has six numbers selected from the numbers 1 through 49,…

A: Here we need to select 6 numbers from the range of 1-49,  For this we will use simple combination…

Q: teacher wants to write an ordered 6-questi rom a pool of 10 questions. How many diffe orms of the…

A: In how many different forms of the test can the teacher write:

Q: Use the counting principle to determine the total number of possible outcomes. 1) A student takes a…

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

Q: Five people applied for jobs at a store. Only two of these people will be hired. The number of…

A:

Q: Toss 5 coins 20 times simultaneously and observe the number of heads that will occur. The possible…

A: Given:  There are 5 coins tossed 20 times simultaneously.  X = number of heads  X is a random…

Q: In tossing a coin 3 times, let X be the number of heads. Find the values of X. O {3} O {1,2,3} O {0,…

A:

Q: In a lottery daily game, a player picks three numbers from 0 to 9 (without repetition). How many…

A: no.of numbers from 0 to 9=10

Q: I ate a hotdog at Julibay's and got indigestion. I ate a hotdog at Macdoy's and got indigestion.…

A: Note: Thank you for the question. Since the complete information is missing, we have classified the…

Q: License Plate You want your lieeuse plate to consist of 3 letters grouped together and 3 digits…

A: Given: 3 letters and 3 digits

Q: A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the other,…

A: Given info:A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after…

Q: 1. When ordering a pizza from Alberto's, you were asked first to choose a type of crust: thin or dep…

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

Q: Two hundred people each purchased one raffle ticket. Three winning tickets are randomly selected. If…

A:

Q: 2. In the Iditarod sled dog race, which of the following represents how many possible ways the…

A: Given that, 2. We need to find, in how many possible ways the racers can finish 1st, 2nd, and 3…

Q: 6. A bin of golf tees has 7 different colors. You reach in and grab 100 tees. How many different…

A:

Q: In tossing a coin 3 times, let X be the number of heads. Find the values of X. O {0,1,2, 3} O…

A:

Q: Four hundred people buy raffle tickets. Three winning tickets will be drawn at random. (a) If first…

A: Given: People buy raffle tickets = 400

Q: A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be…

A: Hello! As you have posted 4 sub parts, we are answering the first 3 sub-parts.  In case you require…

Q: In a lottery daily game, a player picks three numbers from 0 to 9 (without repetition). How many…

A: Given that a player picks three numbers from 0 to 9 (without repetition). So there are 10 numbers…

Q: An investor randomly selects 6 stocks from 14 stocks for an investment portfolio. The total number…

A: An investor randomly selects 6 stocks from 14 stocks for an investment portfolio. The total number…

Q: flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3…

A: Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Q: In tossing a coin 3 times, let X be the number of heads. Find the values of X. {1, 2, 3} O {0, 1,2,…

A:

Q: 10 samples of different publishers are on display at a book store customers.…

A:

Q: In tossing a coin 4 times, let X be the number of heads. Find the values of X. {0, 1, 2, 3, 4} {1,2,…

A:

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Given that  The student body of 215 students wants to elect two representatives. since it involves…

Q: Interpret this result. Select the correct choice below and fill in the answer box to complete your…

A: The total number of multiple births is 7,397.

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

A:

Q: One hundred sixty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A:

Q: a. Complete the Venn diagram by including the correct number in each region. RN = registered nurses…

A: We use the Venn diagram to answer the given question.

Q: You pick 3 cards in a deck of cards to form a hand. (a) How many hands contain exactly 1 suit? Does…

A: a) In a deck of cards, there are 52 cards.  For this problem, the order does not matter because a…

Q: 5. In 2006, tennis introduced a challenge system in which a player can challenge a decision as to…

A: Given Information: Number of people participated in challenge,n = 850 Number of people corrected the…

Q: Five singers are to perform at a night club. One of the singers insists on being the last performer…

A: Given Five singers are perform at a night one singer is the last performer

Q: You are running in a marathon with 28 total racers in which first, second, and third place are…

A: We have to find total outcomes for this race.

Q: In how many ways can first, second, and third prizes be awarded in a contest with 310 contestants?…

A: According to the given information, we have Total number of contestants = 310

Q: 200 people yielded this information: 94 people own a blu-ray player 127 people owned a microwave…

A: Given: 200 people yielded this information: 94 people own a blu-ray player 127 people owned a…

Q: Given a group of students: G={Allen, Brenda, Chad, Dorothy, Eric} or G {A, B, C, D, E}, count the…

A: Allen=BoyBrenda=girlChad=boyDorothy=girlEric=boySo the set for boy={A, C, E} and the set for…

Q: One hundred eighty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A: Total number of tickets sold= 185 Given that the first price is $500, the second prize is $300, and…

Q: n a party there are 38 guests who shook hands with exactly one another once. How many handshakes…

A: Given: Number of guests = 38 Number of people required for a handshake = 2

Q: 8. A teacher wants to write an ordered 6-question test from a pool of 15 questions. How many…

A:

Q: items respectively how many different dinner combinations are possible?

A: here given , 5: At a Chinese restaurant, dinner for 8 people consists of 3 items from column A, 4…

Q: Q.3\ Shuffle a deck of 52 cards. How many outcomes are possible? (In other words, how many different…

A: Given Information: Shuffle a deck of 52 cards. To find number of different ways in which we can…

Q: A Movie Festival. At a movie festival, a team of judges is to pick the first, second, and third…

A: Here we need to pick 3 movies out of 18 for a position of first, second and third. So, order matters…

Q: Twenty-four people enter a tennis tournament. How many different first-round matches are possible if…

A: Given , 24 people enter a tennis tournament, and each can play with any other player.  It means 1st…

Q: Using the pigeonhole principle A drawer contains a dozen brown socks and a dozen black socks, all…

A: Given problem Given that   A drawer contains a dozen brown socks and a dozen black socks ,all…

Q: A survey of 1,103 tourists visiting Orlando was taken. Of those surveyed: • 280 tourists had visited…

A: Introduction :-  We have to find out how many of 1103 tourists visited the magic Kingdom.

Q: 64 ). In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices…

A: Consider that the total number of numbers can be defined as n.

Q: nuclear power station is to be built on one of 20 possible sites. A team of engineers is…

A: The permutation formula is given by nPr = n!/(n-r)!

Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 18

A: The permutation formula is defined as follows.    The formula for n! is defined as follows.

Q: A survey of 1,196 tourists visiting Orlando was taken. Of those surveyed: • 258 tourists had visited…

A: Let the set of people who visited LEGOLAND, Universal Studios, Magic Kingdom be A, B, and C,…

Q: Quen: In a pharmaceutical study, two drugs (A and B) and a placebo are to be compared for effects.…

A: There are three drugs. Out of 50 people, 20 are given drug A 20 are given drug B 10 people are given…

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.