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.

How many different ways are there for 4 boys and 3 girls to sit in a row if the boys are to sit together and girls are to sit together?

1440 ways
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 ways can 2 boys and 3 girls sit in a row if the first and last seats are occupied by girls?

Answer and Explanation: (a) The total number of ways in which 2 boys and 3 girls can be arranged: 5! =120. possible arrangements.

How many methods are possible for arranging 5 boys and 4 girls in such a way that no 2 girls could sit together?

= 24 ways. Therefore, number of ways that 5 boys and 4 girls can be arranged in a row so that all boys stands together and all girls stand together = 2*120*24 = 5760. There are total (5 + 4) = 9 persons. They can be arranged on a beach in (9!)

How many seating arrangements are possible for 3 girls and 3 boys to sit in a row of 6 seats if no girls can sit next to each other and no boys can sit next to each other?

There are 6! = 720 ways to seat 3 boys and 3 girls in a row of 6 seats.

How many ways can 4 boys and 3 girls be seated in a row of 7 chairs if they can sit anywhere?

24×6=144 ways the boys and girls can sit.

What is the number of ways that 4 boys and 3 girls can be?

Thus, the required number of ways will be 144 ways.

How many ways can a conference of 4 boys and 4 girls be seated around a table so that boys and girls are alternate?

ways. = 144 ways. Therefore, the no. of ways in which 4 boys and 4 girls can be made to sit around a circular table such that no two boys sit adjacent to each other are 144 ways.

How many ways can 4 boys and 4 girls be permuted?

There are 4 boys and 4 girls; they can be permuted among themselves in 8! = 40320 ways. Now, if all the four girls sit together, they can be considered as one entity. So, here the permutation will be among 4 boys and the 1 girl entity, i.e., total 5; and in 5! = 120 ways.

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

So there are 4 boys + 1 ‘person’ = 5 objects, which can be arranged in 5! ways. But the group of 4 girls can arrange themselves in 4! ways, so the total number of ways where the girls sit together is 5! x 4! Unrestricted, 4 boys and 4 girls can be arranged in 8! ways.

How can I date two guys at the same time?

There are two ways to date two guys: the unethical way and the ethical way. The unethical way is to do it behind their backs, while stating or implying, directly or through omission, that you are not. The ethical way is to tell them both what you’re doing, and date two guys who are okay with that. You can certainly find such people.

How many ways can a group of 4 girls sit together?

Treat the group of 4 girls as 1 ‘person’. That is, they are sitting together. So there are 4 boys + 1 ‘person’ = 5 objects, which can be arranged in 5! ways. But the group of 4 girls can arrange themselves in 4! ways, so the total number of ways where the girls sit together is 5! x 4! Unrestricted, 4 boys and 4 girls can be arranged in 8! ways.