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How many ways can 5 boys and 3 girls sit around a table if no two boys should sit together?

How many ways can 5 boys and 3 girls sit around a table if no two boys should sit together?

Now we have been given 5 boys. Now these 5 boys can be arranged in 5! Ways. Thus we have arranged 5 boys and 3 girls in 14400 ways in such a way that no 2 girls are together.

How many ways can 4 boys and 3 girls line up so that no two boys are next to each other?

= 120 x 24 / 2 = 1440 ways.

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How many ways can 3 boys and 5 girls be arranged in a row so that no two boys are together?

We have found that the number of ways in which 5 girls and 3 boys can be seated in a row so that no two boys are together is 14400.

How many ways are there to arrange 5 boys and 5 girls around a table such that no two boys are next to each other?

= 2! × (5!) Total number of ways in which no girls are together = Total number of arrangements – Number of arrangements in which all the girls are together. 5 boys and 5 girls total number of arrangements of = 10P10 = 10!

How many ways can 2 boys and 2 girls be seated?

My answer was that there’s 8 ways – the adults can swap, while the boys and girls each have 2! ways of sitting.

How many possible orders can 2 boys and 2 girls sit on college?

Find the number of ways of arranging 6 boys and 6 girls in row. In how many of these arrangements.

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How many ways can 4 boys and 3 girls be arranged?

Now, from the fundamental principle of multiplication, we can say that the number of ways in which 4 girls and 3 boys be seated in a row so that no two boys are together will be equal to m×n=24×60=1440 ways. Thus, the required number of ways will be 1440 ways.

How many boys and girls are to be seated in a row?

4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated? Please log in or register to add a comment.

How many ways can 3 boys be made to sit together?

Now we have 3 boys who can be made to sit together in 3! = 6 ways. Finally we have Girls (G) and Boys (B) who have to be seated together and they can be seated in 2! = 2 ways (consider 4 girls as one group = G and 3 boys as one group = B) I can explain why this answer is 288 and not 576.

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How many units can be arranged with 2 girls and 3 boys?

2 Girls and 3 Boys shold be arranged in row such that 2 girls should sit together. Now you should consider 2 girls into one unit. So you are having 4 units. They can be arranged in 4! ways = 24. But both girls can interchange their places so answer is 24*2 = 48

How many ways can 5 girls and 5 boys arrange among themselves?

Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together. Two groups of 5 girls and 5 boys can be arranged in 2! ways. 5 girls can arrange among themselves in 5! ways.