WORD PROBLEMS INVOLVING COMBINATION WITH RESTRICTIONS. SHOW SOLUTION THANK YOU! 1.) How many committees can be formed with 3 male and 4 female from 5 male students and 8 female students? 2.) A jar contains 6 white marbles and 7 black marbles, in how many ways can 6 marbles be choosen if there should be 3 of each color?

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to…

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Q: 6. A club with 20 heterosexual couples (40 people) needs a committee of 4 people. Determine how many…

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Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5…

A: The Permutation is the method that used to understand the number of possible arrangements with order…

Q: How many different ways can 7 students consisting of 4 boys and 3 girls sit in a row if ; a. They…

A: Represent the 7 seats in 7 blocks where each a boy or girl can be seated in each block.  Fill each…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

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Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 6…

A: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.

Q: After gym class you are tasked with putting the 24 identical dodgeballs away into 7 bins. a. How…

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Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…

A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The  no.of ways can…

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: A pizzeria has 14 types of pizza. How many different ways are there to choose 18 pizzas with at…

A: The probability is nothing but the likelihood of the occurrence of the event. The probability of an…

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

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: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

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Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where:…

A: The total no. of boys is .The total no. of girls is .Consider the formula for . For  considered…

Q: A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if…

A: The group contains 9 women and 6 men. A 4-person committee is selected. a) The number of ways to…

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

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Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Q: There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As…

A: There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team.…

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…