A box contains 5 yellow, 8 green, 11 blue, 11 purple and 15 white balls. What is the minimum number of balls we have to choose to ensure we get 9 balls of the same color?

Q: I have 250 unique pairs of socks. If I want to have a pair of socks, what is the minimum number of…

A: Matching Pair: A matching pair is an experimental design where objects having the same…

Q: An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store…

A: Minimum number of tables to be sold is 5 or more.

Q: What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls…

A:

Q: Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be…

A: paul has 20 thin rods where lengths in centimeters are 1,2,3,....,20. as we know, perimeter is the…

Q: A pencil case has 400 colored markers: 200 blue, 120 red, 50 green, and 30 yellow. What is the least…

A: Given problem Given that   A pencil case has 400 colored markers . 200 blue 120 red 50 green 30…

Q: What is the same space for a family with 3 children?

A: Given that  A family with 3 children  Children=(B,G) B=boy G=girl Find the sample space for family…

Q: Find the union of the sets {0, 1, 3, 5} ∪ {2, 4, F}.

A:

Q: A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b,…

A: Given that a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d.…

Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: We want to distribute lunch boxes on 24 mosques, what is the minimum number of lunch boxes do we…

A: The minimum number of lunch boxes do we need to guarantee that the mosque that will get MOST of…

Q: In a group of 100 people, each people needs to choose a number from 100 to 120. i)Prove that at…

A: Using the Pigeonhole principle we can prove the first statement. This principle states that if kn+1…

Q: find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10}

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Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 156…

A: Remark:The greatest common division (GCD)of two numbers p,q is the greatest positiveinteger a such…

Q: A box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls. what is the minimum number of…

A: Given that a box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls.

Q: 2) For a balanced incomplete block design, suppose you have 8 treatments and know that there can…

A: Given :-For a balanced incomplete block design, suppose you have 8 treatments and know that there…

Q: what is the minimum perimeter of a triangle with sides 11 and 14 if the other side is limited to an…

A: Since we know that  In any triangle ABC  The sum of length of  any two sides of triangle is always…

Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9   Total number of…

Q: What is the minimum number of students, each of whom comes from one of the 17 regions, who must be…

A: We have students comes from 17 regions.  Now we will distribute no of students to each of 17…

Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is…

A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four…

Q: A box has 30 blue balls, 40 red balls and 50 black balls. What is the least number of balls one must…

A: A box has three different types of balls. We have to find least number of balls that will make sure…

Q: Assume that there are 13 pairs of black socks (çorap) and 8 pairs of blue socks in your drawer What…

A: In a single pair, there are two socks. In order to form a pair, at least 2 socks must be drawn.…

Q: Find the intersection of the sets. {1, 2, 3, 4} ∩ {2, 4, 5}

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Q: In a city each person earns at most $5000 per month and every house is occupied by at most five…

A: HERE Given  Maximum earnings of of person = $5000 Maximum person in one one house= 5

Q: Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be…

A: Given information: Paul has 20 thin rods whose lengths, in centimeter's are 1, 2, 3, ..., 20. We…

Q: If the light is off 17 plack socks and 17 white socks if the light is off and Matt reaches into the…

A: If he pulls 2 socks, then he might get one black sock and one white sock. So, n≠2

Q: When I arrange the members of a marching band in rows of 2, 3, or 4, there is always 1 person left…

A: To solve the given problem

Q: In a plastic bag there are 12 white marbles, 7 green marbles, and 8 blue marbles. What is the…

A: Given Data: Number of white marbles=12 Number of green marbles=7 Number of blue marbles=8   To Find:…

Q: A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of…

A: From provided information; A bag contains 10 red marbles, 10 white marbles and 10 blue marbles. The…

Q: Find the intersection of the sets. {1, 3, 5, 7}∩ {2, 4, 6, 8, 10}

A: Given: 1,3,5,7∩2,4,6,8,10 we know that there is no common elements in given two sets so,…

Q: A bag contains 3 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 2 orange marbles.  How…

A:

Q: What is the intersection of sets {2,3,4} and {2,3,5}?

A: To find the intersection of given sets: {2,3,4} and {2,3,5} Solution: We know ,the intersection of…

Q: What is the number of edges in a forest with 50 nodes and 10 components? Your answer should be an…

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Q: drawer contains 17 black socks, 17 white socks, and 17 blue socks. If the light is off and Carol…

A:

Q: A drawer contains 22 black 22 white socks and 22 blue socks. If the light is off and Matt reaches…

A: Given information 22 Black socks 22 White socks 22 blue socks 3 types of socks are there He will…

Q: The IECEP SLU Student Chapter is to have their Sportsfest. Thirteen teams were formed. Each team is…

A: Given: Number of teams is, N=13. Each team is to play with each other only once. The objective is…

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: A drawer contains 12 identical white socks 18 identical black socks and 14 identical brown socks.…

A:

Q: Maximize 2x, + x, + x, subject to x, + 5x, + x, s 5 3x, + 2 x, + x, < 9 5x, + 4 x, + 2x, s 10

A: (i) Solution of Linear Programming Problem via Simplex Method: 1. As the constraint 1 is of type '≤'…

Q: A fashion designer needs to design a new shirt. She has 7 different types of materials, 14 different…

A: Given that there are 7 different types of materials, 14 different colors for each material, and 9…

Q: Twenty-five friends play golf in 5 groups of 5. Show that 6 is the minimum number of rounds they…

A: Given: Twenty-five friends play golf in 5 groups of 5.

Q: Find the intersection of the sets: {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}.

A: Given  {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}

Q: In a country, there are n farms and in each farm, there are at most 15 types of fruit trees. For any…

A: Use the data given to determine the answer. Use simple mathematics to determine the minimum number…

Q: Find the intersection of the set {1, 2, 3, 4} ∩ {2, 4, 5}.

A: We have to find intersection of the set: 1, 2, 3, 4∩2, 4, 5 We know that intersection of set is the…

Q: A basket of fruit is being assembled from apples, bananas, and oranges. What is the fewest number of…

A: Given question is A basket of fruit is being assembled from apples, bananas, and oranges. What is…

Q: A business has seven locations to choose from and wishes to rank only the top three locations. How…

A: Introduction: The total number of available locations is, n = 7. The number of locations to be…

Q: A drawer contains 20 pens, of which 4 are red, 7 are black, and 9 are blue. At the least, how many…

A: Given Data: Number of red pens=4 Number of black pens=7 Number of blue pens=9   Total number of…

Q: A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to…

A: Let the restaurant offers n ingredients. When a person is choosing an ingredient for an omelet, then…

Q: a drawer contains 17 Black socks, 17 White socks, 17 Blue socks and 17 brown socks.  What is the…

A: A drawer contains 17 Black socks, 17 White socks, 17 Blue socks and 17 brown socks.

Q: What is the minimum number of students, each of whom comes from one of the 50 states, who must be…

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Q: You are going to create a portfolio consisting of 2 stocks. There are 6 available stocks to choose…

A: