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

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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 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: 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 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…