. Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly selected to appear on the class bulletin board, how many different groups of 3 are possible? (calculate number of combinations of 3 items from 16 available items). Show the result of calculations.

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: How many possible results are there that A finished the first, B finished the second, and C finished…

A: SIX STUDENTS ARE SELECTED TO RUN 100 METER SPRINT. ASSUME THAT THEY ARE EQUALLY GOOD AND RESULT ARE…

Q: How manly liked apples only? How many liked bananas only? How many liked cantaloupes only? How…

A: HERE from given information  define events A = students like apple B = student like banana C=…

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

A:

Q: 5. Suppose six pairs of similar-looking boots are thrown together in a pile. How many individual…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

Q: A hospital would like to hire a nurse. They received applications from 10 candidates who seem to be…

A: No. of applications received=10 No. of candidates randomly selected=4 No.of candidates called for an…

Q: 6. Find the » ted number of jazz records when 4 records are selected at random from a collection…

A: here as per guidelines i have calculated first main question  here given there are 5 jazz records ,…

Q: The number of possible permutations if r objects are taken from n items is nPr =________.

A:

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: The number of permutation of n items is also called as _______________.

A: We have to fill the blank with the correct information -  The number of permutation of n items is…

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem.…

A: Given, a bag containing 13 marbles Marbles are drawn from the bag without replacement.   So,

Q: A survey of 64 families yields the following data for the number of children per family. 1 1 2 2 3 4…

A:

Q: anufacturing​ error,ten cans of regular soda were accidentally filled with diet soda and placed into…

A: Here it is given that -  Due to a manufacturing​ error, 10 cans of regular soda were accidentally…

Q: A pollster randomly selected 4 of 10 available people. How many different groups of 4 are possible?

A: Given,   A pollster randomly selected 4 of 10 available people.   The objective is to find how many…

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: Since multiple parts given, part a and b are answered. Please repost for more help.

Q: A fleet of 150 buses was classified in the following ways: each bus had either a Diesel engine or…

A: The number of diesel engines is 120.

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

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: Suppose that jurors are selected randomlyfrom an adult population. What is the proability that all…

A: Given data, n=12 p=80%=0.80 P(X=12)=?

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: rom a group of 7 men and 5 women, how many committees of size 3 are possible.  a) With no…

A: Given: No. of men=7 No. of women=5   Committee members=3

Q: Out of 420 people in a club, 40% of them are over 30 years old.Of the people under 30 years of age ,…

A: Please refer the attached image for complete solution.

Q: From a team of 27 baseball players a group of 6 is to be randomly selected for steroid testing.  In…

A:

Q: Suppose 12% of students chose to study French their freshman year, and that meant there were 21 such…

A: Given: Suppose 12% of students chose to study French their freshman year and  that meant there were…

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: (a) Determine the number of different groups of seven students can be selected. The number of…

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

A:

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: A manufacturer of automobile tires reported that among a shipment of 1000 sent to a local…

A: Given data:  a shipment =  1000 sent to a local distributor 20 = slightly blemished. Ahmed purchases…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: To calculate the no. of permutations of three items can be selected from a group of six and also…

Q: In a survey of employees at a fast food restaurant, it was determined that 16 cooked food, 13 washed…

A: Given: (1) 16 cooked food, 13 washed dishes, 25 operated the cash register. (2) 7 cooked food and…

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A: A. The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: The number of permutations of n items is also called as _______________.

A: The number of permutations of n items is also called as n! (n Factorial).

Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

Q: A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel,…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: In a study of children, a total of 1,560 children were examined. Of these, 1,018 had rickets. Of the…

A:

Q: How many permutations are there of all the letters in the word COMBINE?

A: It is as simple as evaluating n!, where n is the amount of letters. There are 7 letter word.

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

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

Q: In a statistics class, there are 45 students where 3/5 of them are girls, In how many ways can a…

A: It is given that the, total no. of students in a statistics class is 45 out of which no. of boys…

Q: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

Q: - A pollster randomly selected 4 of 10 available people. How many different groups of 4 are…

A: A combination is the arrangement of m items out of a list of n, where the order doesn't matter.  It…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: Compute the following numbers:d. How many 5-card poker hands are possible? (There are 52 total cards…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel,…

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