In a class survey, Joyce provided a list of 12 movies and wanted you to choose 3  favorite movies and rank them for your 1st, 2nd and 3rd choice.  Which of the following statement is correct?     a) This is a permutation setting since order matters.     b) This is a combination setting.     c) There are 12 ways to choose 3 movies out of 12.     d) There are 3 ways to choose 3 movies out of 12.

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: In a Quiz Competition, 102 Students took part in the Mathematics Quiz only, 30 students took part in…

A: Given students participate in Mathematics quiz only is 102 students participate in Physics quiz only…

Q: Ryan is putting 12 colored light bulbs into a string of lights. There are 6 pink light bulbs, 2 red…

A: Permutation:Let there be 'n' things that are to be arranged, out of which p,q,r  are identical . And…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: A group of 10 people is choosing a chairperson and vise-chairperson. They put all 19 people's name…

A: Note: given that there are total of 10 people. Thus there is only chance to put 10 peoples name into…

Q: If we want to create a group of six people where they role will assigned as their names are chosen,…

A: Solution The selection of the people should be with the arrangement does not matter  . So the…

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

Q: From among 11 people you must choose a President, a Vice President, a Secretary, and a Treasurer.…

A: Given Information: There are 11 people out which a President, a Vice President, a Secretary, and a…

Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: A collector of toy vehicles has 12 hot rod cars, 10 pickup trucks, 9 classic cars, and 1 big rig…

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Q: Consider the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: A pizzeria has 14 types of pizza. How many different ways are there to choose 18 pizzas with at…

A: The probability is nothing but the likelihood of the occurrence of the event. The probability of an…

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

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Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: A child wants to pick 5 balloons from a set of 6 blue and 5 red balloons. Number of ways for picking…

A: Number of blue balloons = 6 Number of red balloons = 5

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: Example 6-5. A gamester has a disc with a freely revolving needle. The disc is divided into 20 equal…

A:

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: Derek, Abdul, Bernard, and Suzie are playing hide-and-seek and taking turns being 'it'. In how many…

A:

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Q: A student has 12 video games: 4 adventure games, 2 arcade games, 3 puzzle games, and 3 simulation…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: There are 7 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there…

A: In this question out of 7 sophomores we have to choose 2, Out of 8 juniors, we have to choose 3 and…

Q: Ms. Rhea gets 13 different diamond cards from a deck of cards.  In how many ways can these thirteen…

A: Introduction: There are 7 people who pick cards- Sharon (S), Eisha (E), Julieth (J), Allysa (A),…