A bag contains four red marbles, two green ones, one lavender one, three yellows, and three orange marbles How many sets of five marbles include at least three red ones? sets

Q: A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange…

A: At most one of the yellow ones means 0 or 1 yellow ones. There are 3 yellow marbles.  And…

Q: A bag contains three red marbles, five green ones, one lavender one, four yellows, and three orange…

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Q: A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected to meet…

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Q: A bag contains five red marbles, two green ones, one lavender one, two yellows, and four orange…

A: We first find the number of sets of 5 that includes no green marbles. There are total (5+2+1+2+4)=14…

Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…

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Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: An urn contains seven ​red, five ​white, and six blue marbles. How many ways can three marbles be…

A: Given that the urn contains seven red, five white, and six blue marbles.

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

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Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

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Q: A group of 11 people consisting of 1 freshmen, 3 sophomores, 3 juniors, and 4 seniors are selected…

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Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: A car manufacturer offers a certain make of car with 4 extprior colors, 3 interior colors, and 6…

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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: An urn contains four ​red, three ​white, and seven blue marbles. How many ways can three marbles be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: A bag contains two red marbles, two green ones, one lavender one, four yellows, and three orange…

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Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and four orange…

A: A bag contains  2 Red marbles 2 Green marbles 1 Lavender marble 3 Yellow marbles 4 orange marbles

Q: a set of marbles consisting of 4 red, 3 green, 2 blue, 3 orange, 2 yellow and 3 purple marbles. How…

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Q: How many possible lock codes are there if repetition of letters and numbers is not allowed?

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Q: A restaurant offers ba dinner special that lets you choose from 10 entrees, 8 side dishes, and 13…

A: From the given information,Total number of dinner entrees = 10Total number of side dishes = 8Total…

Q: You have 28 cards and 14 envelopes (labeled 1,2, ..,14).In how many ways can you put the 28 cards…

A: Part a:The envelopes are numbered 1 to 14.Each of these 14 envelopes can hold any of the 28 distinct…

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: A new car model is available with 5 choices of color, 3 choices of transmission and 4 types of…

A: From the provided information, A new car model is available with 5 choices of color, 3 choices of…

Q: On a certain senate subcommittee there are five senators: Avi, Bonita, Chloe, Dean, and Ellen. Three…

A: We have to find the number of possible subcommittees.

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: A club with 17 members must choose a president, a vice president, a treasurer, and a secretary. How…

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Q: An urn contains nine red, two white, and five blue marbles. how many ways can three marbles be…

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

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Q: A girl owns 1 pairs of pants, 7 shirts, 2 ties, and 8 jackets. How many different outfits can the…

A: Given that Pants=2 Shirts=7 Ties=2 Jackets=8  Total diffrent outfits=2*7*2*8 Total different outfits…

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: In one class 18 students play basketball, 14 students play soccer and 10 students play volleyball. 5…

A: Given:  The number (no. ) of students play basketball (B)=18. The no. of students play soccer…

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and three orange…

A: There are number of marbles in bag: Number of red marbles: 4 Number of green marbles: 3  Number of…

Q: A bag contains three red marbles, three green ones, one lavender one, two yellows, and three orange…

A: Solution: Given information: Red marbles = 3 Green marbles = 3  Lavender  marble = 1 Yellow marble =…

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange…

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Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

A: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

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

Q: A 6-person committee is chosen from a group of 8 men and 5 women. How many committee are possible…

A: We have given that 8 men and 5 women. Total number of person = 13

Q: A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange…

A: It is given that there are three red marbles, two green marbles, one lavender marbles, two yellow…

Q: A menu offers a choice of 5 salads, 15 dishes, and 3 desserts. How many different meals consisting…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A group of 13 people consisting of 3 freshmen, 2 sophomores, 4 juniors, and 4 seniors are selected…

A: Given: A group of 13 people is to be formed by selecting, 3 freshmen out of 6 freshmen, 2 sophomores…

Q: A group of 11 people consisting of 2 freshmen, 1 sophomores, 4 juniors, and 4 seniors are selected…

A: Given:A group of 11 people consisting of 2 freshmen, 1 sophomores, 4 juniors, and 4 seniors are…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: Total number of marbles, n = 3 red + 1 green + 1 lavender + 3 yellow + 3 orange = 11 Number of red…

Q: A student club consists of 9 freshmen and 9 sophomores. • How many different six-person committees…

A: use permutation and combination find the solution

Q: Consider a bag containing seven red marbles, two green ones, one transparent one, seven yellow ones,…

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…

Q: A bag contains three red marbles, six green ones, one lavender one, two yellows, and three orange…

A: