In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together? In how many ways if no two people of the same sex are allowed to sit together?

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

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

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

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: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

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Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

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Q: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be…

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

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: 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: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

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Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

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

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Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

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Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

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: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

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Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

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: 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: how many ways can a teacher sit 12 students in two rows of 6 chairs if Bobby must sit in the front…

A: Given: Total number of students = 12 Number of seats in each row = 6 Bobby is in first row and Billy…

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

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

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Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…