11) Given the set of integers from 107 to 792, a. How many integers are there in the set of integers from 107 to 792 inclusive? Count how many of these integers are divisible by 11. C. What is the probability of picking a number divisible by 11 out of the set of integers from 107 to 792 inclusive? b.

Q: 8.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

A: We find the distance between an airplane flying at 120 feet above sea level and a turtle swimming at…

Q: In a survey of 3322 adults aged 57 through 85 years, it was found that 83.2% of them used at least…

A:

Q: 6 numbers dra ion symbol in th nho

A: In this question,concept of probability is applied. Probability The ratio of the number of…

Q: A ballroom is full of people (say more than 200). What is the least number of people that you must…

A:

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many…

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Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

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Q: 1. Consider the two-digit positive integers 10, 11, 12, .., 99. Answer the following questions. a.…

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Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: 30 students play volleyball, 25 students play football, and 20 students play both games. Using a…

A: Given, Number of students who play Vollyball=30 Number of students who play football=25 Number of…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: A certain lottery requires players to select 6 different numbers, in any order, from 1 to 46…

A: A certain lottery requires players to select 6 different numbers in any order from  1 to 46…

Q: In college, 200 students are randomly selected, 140 like tea, 120 like coffee and 80 like both tea…

A: Total number of students are randomly selected = 200  number of students like tea = 140 number of…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: An electronics store receives a shipment of 30graphing​ calculators, including 6 that are defective.…

A: Total graphing​ electronics calculators receives the store at shipment (n) = 30 Number of defective…

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

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Q: 1.    Consider a random 3 digit number. (a)    How many ways can such a number be created?  b)How…

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Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8, then shuffled, and three cards…

A:

Q: An environmental education club has 318 members. Select all methods that would select a sample of 20…

A: the process of taking out some part of the population is called sampling. there are some techniques…

Q: combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: To find a. How many 5-cards hands are there consisting of all diamond suits b. How many 5-cards…

Q: The number of permutations of 4 items selected from 8 is 236. Select one: O True O False Give your…

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Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: in how many ways could members of the following club lineup all seven members for a photograph? N=…

A:

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

A:

Q: umbers from 1 through FFFF have at least one repeated digit? 2. What is the probability tha

A: From given: The hexadecimal has 16 digits.

Q: The number of ways to pick 6 different numbers from 1 to 42 in a state lottery is 5,245,786.…

A: Formula: Hypergeometric distribution is given by

Q: a.How many positive two-digit integers are multiples of 3 ?b.What is the probability that a randomly…

A: Step 1: Step 2: Step 3: Step 4:

Q: How many different ways a president and a vice president can be selected from a group of 17…

A:

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: Identify the sets: The even natural numbers that are less than 12. Select one: a. {0, 2, 4, 6, 8,…

A: find the set of even natural number that are less than 12

Q: A A major Lottery game called 6/58 is very famous in the Philippines. A lucky winner will emerge if…

A: Given- A major lottery game called 6/58 is very famous in Phillippines. A lucky winner will emerge…

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.