There are 2 blue and 4 yellow cars to be parked in a row of 10 parking bays. Assume that cars of the same colour are identical and the parking bays are chosen at random. (a) In how many ways can the cars be parked (b) In how many ways are the 4 yellow cars parked next to each other.

Q: Find the probability that when four numbers from 1 to 100, inclusive, are picked at random with no…

A: Given, Four numbers are selected at random without repetition. calculate: the probability that all…

Q: Suppose we select 3 students randomly out of a class of 10 students to read a  paper from the…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: In a black bowl contains 10 red balls and 10 yellow balls. One person selects balls at random…

A: Given Information :  In a black bowl contains 10 red balls and 10 yellow balls . One person selects…

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 7 identical…

A:

Q: A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at…

A: Given: The number of red balls is 10. The number of blue balls is 10. The total number of balls in…

Q: a) Compute the number of ways in which 5 lottery balls can be selected from a pool of 39 balls.…

A: a) We can select 5 balls from 39 balls in 39C5=575757 ways. We can match all the 5 numbers in 5C5=1…

Q: Suppose there are 14 boys and 6 girls in a classroom. A teacher randomly selects 5 students from the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Ex: An experimenter partitions a field into 64 same lots. Experimenter uses 5 different seeds, 3…

A: Given, No of Lots = 64 no of seeds = 5 no of pesticides = 3  no of fertilizers = 4

Q: Sana throws a pizza party. She has ordered different pizzas which include, 8 Chicken pizzas, 10…

A: According to the provided data, there are 8 Chicken pizzas, 10 Vegetable pizzas and 12 Beef pizzas…

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: Your bowl contains 7 red balls, and 5 blue balls, and you draw 4 balls. In how many ways can the…

A:

Q: A carton of 16 hair dryers contains three which have minor blemishes, with the others in perfect…

A:

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: from a coin box containing 4 dimes and 2 nickles,3 coins are selected at random replacement after…

A: A box contain 4 dimes and 2 nickels, we need to select 3 coins at random with replacement.…

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: In a box, there are 5 large yellow marbles, 3 small yellow marbles, and 24 white marbles. How many…

A: Introduction -  Probability = Favorable outcomes total number of outcomes

Q: Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the…

A: Consider the given statements,Determine in how  many ways can the selection be made so that at least…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: n an experiment where 2 balls are drawn successively at random without replacement from a box…

A: The total number of balls is 2+3+2 =7

Q: An jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. In how many ways can 3 necklace…

A: It is given that the A jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. So that the…

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

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: In a lottery, a player pays $1 and selects four distinct numbers from 0 to 9. Then, from an urn…

A: Player has to pay $ 1. For each game If he gots 3 numbers exactly. He get = 5 $ If he gots 4 numbers…

Q: Two jurors are selected from 4 alternates to serve at a murder trial. Using notations J1 and J2 to…

A: Given data: Two jurors are selected from 4 alternates to serve at a murder trial. Using notations J1…

Q: In a lottery game, a player picks 8 numbers from 1 to 49. If 6 of those 8 numbers match those drawn,…

A: 1) number of ways to choose 4 winning numbers from possible 6 numbers =(8C6)=28 2) number to choose…

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: The UCLA Math Team gives out 3 different awards to graduating students who were active on the team.…

A:

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: There is money to send three of nine city council members to a conference in Honolulu. All want to…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: Suppose there are 14 men and 6 women in an office. A CEO randomly selects 5 workers from the office…

A:

Q: There is money to send four of nine city council members to a conference in Honolulu. All want to…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r! There…

Q: In a group of n women and n men, how many people must be selected at random from the total 2n…

A:

Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

A:

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

A:

Q: 8. In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis.…

A:

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 3 coins. (1) In how many…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: From a sack of fruit containing 3 oranges, 2 apples and 3 bananas, a random sample of 4 pieces of…

A: Given: n(oranges) = 3 n (apples) = 2 n (Bananas) = 3 n (total) = 3+2+3              = 8 n(drawn) = 4…

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: *to find:- different collection to be chosen out of 20 coins which contains at least 3 coins of each…

Q: A teacher is assigning one each of the letter grades A, B, C +, C, C-, and F to the 6 students. If…

A: There are 6 grades and 6 students.  The first student can get a grade in 6 ways. The second student…

Q: Assume that you have 4 dimes and 5 quarters (all distinct), and you select 3 coins. (3) In how many…

A: Given: Dimes = 4 Quarters = 5 3 coins are selected. The number of ways in which selection can be…

Q: Your bowl contains 6 red balls, and 7 blue balls, and you draw 4 balls. In how many ways can the…

A: Given: Bowl contains 6 red balls, and 7 blue balls. We have to draw 4 balls. The number of ways in…

Q: A bowl containes 8 red balls, and 9 blue balls, and you draw 4 balls. In how many ways can the…

A: A bowl contains 8 red balls, and 9 blue balls, and I have to draw four ball in such a way that…

Q: Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of EIGHT classrooms.…

A: Given data: Total classrooms = 8 4 rooms at random are tried to save time To find:  The possible…

Q: A box contains 4 black, 2 red and 3 white marbles. In which of the following ways is it correct to…

A: Given: A box contains 4 black, 2 red, and 3 white marbles, and 4 balls are selected from this box. 4…

Q: ou randomly select an integer from 0 to 24 inclusively and then randomly select an integer from 0 to…

A: Solution: Given information: The  integer from 0 to 24  inclusively Total integer = 25  The integer…

Q: classroom contains 71 students. 10 of them are Chinese, 24 are Japanese and 37 are Filipinos. If…

A:

Q: Assume that you have 4 dimes and 2 quarters (all distinct), and you select 3 coins. (1) In how many…

A: Given Number of ways to select X things out of n things =(nCx) We have  4 dimes and  2 quarters We…

Q: 1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors…

A:

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.