Suppose you have a set S= {1, 2, 3, 4}. How many ways can you arrange 2 elements of the set without repetition? List all of the outcomes. Enter your answer in the space provided below.

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…

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Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

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Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…

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Q: The women’s shoe comes in sizes 5, 6, 7, 8, 9, and 10 and the men’s shoe comes in sizes 8, 9, 10,…

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Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

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Q: Examine the formation of the students below. If the pattern continues up to the 50h row, how many…

A: Given that:

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Q: Autumn is packing for a trip. She packs two types of shirts: short sleeve and long sleeve. She packs…

A: Given: She packs two types of shirts. 1. short sleeve  2. long sleeve She packs three types of…

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: a. The large books must always be together. b. The first book and last book must always be medium…

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Q: three lotter tickets for first, second and third prizes are drawn from a group of 40 tickets. find…

A: given data select first, second and third prizes from a group of 40 tickets.

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: 15 applicants for four jobs : : Computer Programmer, Software Tester, Manager, andSystems Engineer.

Q: 6. committee of 4 students can be formed if there are at least 2 girls in the committee. There are 4…

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Q: In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at…

A: To get hold of the 56th ball it's important to get hold of the 52nd ball and so on. This is the key…

Q: Q6. In how many way, can a manager .arrange 16 employees into 4 groups

A: Number of ways = 16C4

Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

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: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: The manager of the baseball team has to determine the order in which the players will go to the…

A: Given,Total no.of players=9

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: people. How many co

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Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

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Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

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Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

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Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Q: A math teacher asks each student to create a password to gain access to her website. The password…

A: Introduction :-  Given :-  The password has 5 digits. The first digit must be a multiple of 1. The…

Q: Number of basketball teams (five players) that can be formed from eight players. Note that a…

A: Permutations Rule:Number of ordered arrangement of r objects taken from n objects is denoted as nPr…

Q: Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.

A: It is required to obtain the number of binary strings of total length m+n, each string having…