A computer programming team has 13 members. Suppose seven team members are women and six are men. How many groups of seven can be ents chosen that contains 3 men and 4 women? O 740 O 700 ry O 1716 O 120

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

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Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

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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…

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find  how many stacks…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

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Q: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…

A: We have given thatSeat of 12 people Number of men = 6Number of women = 6

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

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Q: As the project manager of a project, you are in charge of a team of seven people which includes…

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Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: Suppose that a group of thirteen person consists of eight women and five men. How many seven-person…

A: Given,no.of womans=8no.of mens=5

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

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Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…

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Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

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Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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 that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

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Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: A computer programming team has twelve members. Suppose five team members are women and seven are…

A: We find the number of groups of five that can be chosen with three women and two men from a team of…

Q: Assume that there are 7 unfilled roles: 4 male and 3 female. There are 6 men and 6 women, including…

A: According to the given information, Total number of unfilled roles = 7 Number of male unfilled = 4…

Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

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Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

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Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

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Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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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: 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: how many hands of 33 cards can be made, where all cards are of the same suit?

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