How many different ways are there to select a group of 3 out of 7 people for a cyber-sport team with 3 distinct roles?

Q: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…

A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.

Q: Q13: Three awards (research..) Three awards (research, teaching, and service) will be given to…

A: Given, Number of graduates = 23 Number of awards ( research, teacching, and service) = 3     To…

Q: Compute P5,2.

A: The ordered combination is known as permutation. It is denoted by P(n,r) Where n is the number of…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

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: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

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Q: Q7. 20 people have volunteered for a 5-person neighborhood advocacy committee. 15 of them are…

A: If a particular event can be done in m different ways and an other event can be done in n different…

Q: Your drama teacher has to choose a female lead and a male lead from 5 female actresses and 3 male…

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Q: You go to a store which buys 7 brands of candies (B1, B2, ., B7). You have 4 children and you want…

A: A combination is an arrangement of items in which order does not matter. Number of combinations of n…

Q: How many different ways are there to select a group of 3 out of 5 people for a cyber-sport team with…

A: From the given information,We have to find How many different ways are there to select a group of 3…

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…

A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…

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: Apolice department in a small city consists of 10 officers. If the department policy is to have 5 of…

A:

Q: ara's softball team can be divided into four groups:  1/2 of the players are strong hitters, 1/4 are…

A:

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: 50% of the students in a school were boys. 20% of the boys and 2/3 as many girls as boys took part…

A: As 50% are boys in the school so left 50% is girls which imply number of boys and number of girls…

Q: A schoolteacher is concerned that her students watch more TV than the average American child. She…

A: Given data: Significance level= 0.01 Given claim: Test the hypothesis that her students watch more…

Q: How many different breakfasts can you have at the local diner if you can select 4 differe dishes…

A: The number of ways is given by n = 4 x 4 x 5 x 7 x4 n = 2240

Q: Jessica knows that her glove drawer contains 12 green gloves, 10 purple gloves, 8 white gloves, and…

A: Given Information: No. of gloves=36Green gloves=12Purple gloves=10White gloves=8Red gloves=6

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: There is a class of 20 students, S1, S2, S3, . . . , S20. We need to form a study group of at least…

A: Total students = 20 {S1,S2,S3,....S20} We need to form a study group of at least 2 At least one of…

Q: AT MOST two pairs of sneakers?

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Q: In a customer service center, there are 18 complaints dropped per minute. What is theprobability…

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