# How many seating arrangements are possible for 7 girls and 7 boys to sit in a row of 14 seats if no girls can sit next to each other and sit without each other?

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## Top best answers to the question «How many seating arrangements are possible for 7 girls and 7 boys to sit in a row of 14 seats if no girls can sit next to each other and sit without each other»

= **5,040 possible arrangements** of the boys.

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**are**15**possible**ways that 6 people can sit in 4 chairs.

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### 😎 How many seating arrangements can 5 people have?

=1*2*3*4*5 =**120 ways** you can seat 5 people in a row of 5 chairs. So no. Of ways the can be seated=5×4×3×2×1=120. So, 5 people can be seated in 5 seats in 120 ways.

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However, the 7 boys can sit such that no two boys and no two girls sit together even if the seventh chair is at the right end. Thus we have 2 ways in which the chair at the end can be placed. ⇒ The number of ways in which 7 girls and 7 boys can be arranged such that no two boys and no two girls sit together is 7! × 7! × 2 = 5040 × 5040 × 2 = 50803200.

Answer and Explanation: 1. Become a Study.com member to unlock this answer! Create your account. 8 8 boys and 7 7 girls must be seated in a row such that the boys and girls occupy alternate ...

Now 7 gaps are created between these 6 seats. So, we can select any 6 of these 7 gaps and make girls sit there. There are 7C6 * 6! ways to do that (since the girls can shuffle amongst themselves). Hence the total number of ways to make boys and girls sit alternately should be 6! 7C1 * 6! but the answer is 2*6!*6!. What am I missing here?

Click here👆to get an answer to your question ️ In how many ways three girls and nine boys can be seated in two vans, each having numbered seats, 3 in the front and 4 at the back? How many seating arrangements are possible if three girls should sit together in a back row on adjacent seats? Now, if all the seating arrangements are equally likely, what is the probability of 3 girls sitting ...

How many seating arrangements are possible if girls should sit together in a back row on adjacent seats? Join / Login. maths. In how many ways three girls and nine boys can be seated in two vans, each having numbered seats, 3 in the front and 4 the back? How many seating arrangements are possible if girls should sit together in a back row on ...

Number of ways in which 7 people can occupy six seats, 3 seats on each side in a first class railway compartment if two specified persons are to be always included and occupy adjacent seats on the same side, is then has the value equal to: 2 (b) 4 (c) 8 (d) None of these

The boys can be arranged first in [math]5![/math]ways. This leaves [math]6[/math] slots between them. The [math]3[/math] girls have to be arranged in these [math]6[/math] places. This can be done in [math]^6P_3[/math] ways. [math]\therefore[/math]...

If we start with the first boy going counterclockwise in the group of 3 boys, and go counterclockwise, we see that there are 7! = 5,040 possible arrangements of the boys. Any of the 3 girls can go in the space between the group of 3 boys and the first group of 2 boys.

With 2 ways to decide if seat number 1 is for a boy or a girls, 24 ways to arrange the boys, and 24 ways to arrange the girls, there are 2*24*24=1152 possible seating arrangements.

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How many possible arrangements of chromosomes after meisosis?There are 8,324,608 **possible combinations** of 23 chromosome pairs. As a result, two gametes virtually never have exactly the same combination of chromosomes.

- This seating arrangement just makes it a bit more social. When working with “groups of four” students get to sit with others all the time. They get to know each other better and make friends. This seating arrangement is a good idea to start the year. 5. Corner Work

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**seating arrangements impact the learning process**. Students occupying the front rows are more attentive that those in the back.

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**how the**instructor communicates with students and how the students interact with one another, impacting engagement, motivation, and focus (McCorskey and McVetta, 1978). More recent research also suggests that students tend...

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- Any of the other classroom seating arrangements work with portable devices like laptops, chromebooks or tablets. When you’re in a classroom with student desks and computers, you can use this classroom layout. It gives you an overview of your students’ computers.

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- General Result: Total
**Possible Arrangements**Review: Binomial and Multinomial Expansions Let us return to the birth-order arrangement problem. Recall that we considered a family with three sons and four daughters. There are,**of**course, several other ways that the family could have had seven children.

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