Tell whether arrangement is important or not. If it is important write P and if not write C. 1. Choosing 3 winners out of the 8 semifinalist in a certain beauty pageant for the titles grand winner, first runner- up, and second runner-up. 2. Choosing 5 distinct flavors of ice cream from 10 flavors and placing them on an ice cream cone. 3. Choosing 12 out of 30 students to join the schools dance club. 4. Selecting 3 from the 8 available fruits in making fruit salad.

Q: 16) Coach Otis Campbell offered to buy hot dogs for players on his team. Of the 44 players: 6 wanted…

A: Given that: Total number of players = 446 wants all three condiments11 wants ketchup and relish10…

Q: Given S={9,10,11,12,13,14,15,16,17}, A={5,6,7,8,9}, B={4,5,6,7,8}. Find A ∪ B , A ∩ B and A − B ,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible…

A: 2 letters can be selected from 5 letters in 5C2 ways.   nCr = n!/(n-r)! *r!

Q: 3. Erin, Catherine, and Shannon are dividing a large bag of candy. They randomly split the bag into…

A:

Q: (c) Which items go to C? Choose the correct answer below. O A. 4, 5, 6 O B. 7, 8, 9 O C. 3, 4, 5 O…

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Q: Choosing 3 household chores to do for a day. Combination Permutation

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Q: Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than…

A:

Q: Assume we have 15 different types of mobiles and 25 different types of books as gifts. We want to…

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

Q: Using the alphabet {u, v, w, x, y, z} how many four letter words with no repeated letters start with…

A: The 4-letter word has to start with x. So, the remaining 3 letters can be filled with either u or v…

Q: 15. In how many ways can the 8 members of the committee be chosen from 15 senior and 10 junior…

A: Here use combination

Q: What is most likely to be the next letter? F, S, S, M, T

A: Given : F, S, S, M, T The above is a series representing the days of a week i.e. Friday, Saturday,…

Q: A teacher has two large containers filled with blue, red, and green beads, and claims the proportion…

A: Let p1= the true proportion of red beads in container 1 and p2= the true proportion of red beads in…

Q: mary ann,hazel,and analyn want to know what numbers can be assigned for the frequency of of heads…

A: The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin…

Q: The Gerber County Paintball League has just completed its 10th season. Help the league secretary…

A: The objective is to match each team to its color and final ranking. We have to find the following:…

Q: 5) m+p÷5; use m = 1, and p 5

A: Given m+p ÷5    , m=1,  p=5

Q: In a class of 35 students. 17 have taken mathematics, eight have taken mathematics but not…

A:

Q: Evaluate: C(7,5)*P(9,2) / C(16,3)

A:

Q: many ways may 5 students be seated in a row for a pictorial? 21. How of 5 chairs

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Q: c) Determine the number of different arrangements that can be formed from the word MATHEMATICIAN.

A: Solution

Q: Write P if the given situations are describing Permutation and C, if tells about Combination.…

A: Since you have posted multiple sub-parts of  question , we will solve first three sub-part of…

Q: 5. The owner of Pita Pan, a restaurant selling pita sandwiches, wants to know how much college…

A: We have to find out the target population for the study.

Q: Determine the number of arrangements of 3 or 4 toys taken from a basket of 10 different toys? O 10…

A:

Q: . evaluate perm(5,3)= b. evaluate perm(22,6)= c. evaluate comb(5,3)=

A: a. evaluate perm(5,3)=? b. evaluate perm(22,6)=? c. evaluate comb(5,3)=?

Q: The Gerber County Paintball League has just completed its 10th season. Help the league secretary…

A: 29) According to the hint (v), the final rank of "Color Blind' is third.

Q: 7. A survey was taken to find what sport Is their favorite among students at a particular high…

A: The total number of students is 200. The percentage of students who like football is 35%.

Q: A teacher attaches 2 to quiz, 3 to midterm and 5 for final exam. If a student gets 90, 50 and 60 for…

A: It is given that a teacher attaches 2 to quiz, 3 to midterm and 5 for final exam. Also, the student…

Q: Suppose there are 4 people in a race, including Patrick and D´ıdac. We record the ranking of each…

A:

Q: The following people are on 4 different committees. What is the fewest number of meetings that need…

A: The following people are on 4 different committees. To find the fewest number of meetings that need…

Q: How many ways can you choose 3 people to form a committee from a group of 10 people? 10! 7! 10! 3!7!…

A: The numbers used for the counting are called natural numbers. The continued product of first n…

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: Triangle STU has the following measures:m<U=16degrees, m<S=50degrees, and s=49.6. What is the length…

A: sinAa=sinBb=sinCc Sum of angle of triangle, ∠A + ∠B + ∠C = 180°

Q: The Gerber County Paintball League has just completed its 10th season. Help the league secretary…

A: Given that, i. The "Night Ninjas" was ranked 1 place ahead of the green team.ii. The group that…

Q: (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different…

A: The solutions are given below

Q: Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The…

A: Combination:   Combination: It  is a selection of objects where the order of selection is not…

Q: Jason wants to dine at three different restaurants during a summer getaway. If three of seven…

A: We have to find no. Of ways to select.

Q: The Gerber County Paintball League has just completed its 10th season. Help the league secretary…

A: It is given that, The Night Ninjas was ranked 1 place ahead of the green team, the group that…

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: a) 3 burgers and 2 drinks cost $35.002 burgers and 1 drink cost $22.00What is the cost of each item?…

A: Given, 3 burgers and 2 drinks cost $35.002 burgers and 1 drink cost $22.00

Q: 4. Suppose you have 12 masks (three green, three purple, three yellow, and three orange) to…

A: Solution: Given information; Total masks=  3 green + 3 purple + 3 yellow + 3 orange n= 12

Q: 25. Challenge: What if the centipede wants 50 (possibly different) matching pairs, one pair for each…

A: Given that a centipede own k different colors of socks. Assume that k&gt;50. Then the centipede owns…

Q: Based on the Venn diagram below, how many students are on the baseball team? 25 6. 9 44 Baseball…

A: From the venn diagram, 25 students are on the baseball team. 44 students are on the football team. 9…

Q: will give 100% rating thumbs up if answered all!! A box contain 5 green, 7 yellow, and 10 orange…

A: Given,no.of green balls=5no.of yellow balls=7no.of orange balls=10Total no.of balls =22

Q: If P = {a,b,c,d,e} and Q = { aqse}, how many members has (PU Q) ? Select one: a.9 C b.7 c.8 d.10

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Q: Using 15 different fruits, how many plates of 5 fruits can we prepare: O P(15, 5) 15*15*15*15*15…

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Q: The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club…

A: Yes you select correct option. b) Total number of student are 150, among them 72 students are…

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find: B' nC' =

A:

Q: for your college interview you most wear a tie, you own seven regular ties and five bow ties  how…

A: The number of ways to select one object out of the r objects is given by the formula nCr=n!r!(n-r!).…

Q: 7. Carol, Ana, Gloria, and Luz are standing in a line. Gloria is first. Luz is not last and is ahead…

A:

Q: Mary Ann, Hazel, and Analyn want to know what numbers can be assigned for the frequency of heads…

A: Tossing three coins Sample space are HHH , HHT , HTH , HTT , THH , THT , TTH , TTT

Q: 10) Out of the 7 finalists, how many ways can we give awards for First, Second, and Third? O 210 105…

A: