How many ways can you arrange 10 students into 10 seats?

= 3265920 ways for the ten people to be seated so that a certain to are not next to each other.

How many ways can three boys and three girls be arranged in a circle if the girls must remain next to each other?

120 ways. Two girls can interchange among themselves in 2 ways. There are two groups. The first group is the three girls, M, N, and O.

How many ways can 3 boys?

Three boys can be arranged within themselves in 3c1 ways. Taking all three boys as a unit we can arrange them in 6c1 ways. Total number of ways: 6c1 * 3c1.

How many ways can 10 students be arranged in a straight line?

Explanation: 10 students can be arranged in a row in 10P10 = 10! ways.

How many different ways can 10 people be arranged?

3,628,800 ways to line up 10 people.

How many ways can 2 people sit in 10 seats?

The way I would solve this is taking the number of ways of seating the ten people without the condition that the two don’t sit together (2⋅9!) and subtracting the number of configurations where they sit together (22⋅8!). So the answer is 2⋅9! −22⋅8! =564480.

How many ways can 3 boys and 2 girls?

Answer C = 48 ways.

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 ways can a team of 3 boys and?

Thus the concept of combinations is applied. Hence, there are 40 ways.

How many ways can 10 be arranged?

If the letters are all different, then they can be arranged in 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800 ways. If some of the letters are repeated, the number of arrangements will be 10!

How many different ways can 10 students form a circle?

So the ten students can be arranged 9! or 362,880 ways. The number of ways to arrange items in a circle is (n-1)!.