How many ways can 6 people be seated in a row of 10?

How many ways can 6 people be seated in a row of 10?

-The answer is 720, because 6! =720. We want to put them in circle with 6 seats. -The answer is 5!

How many ways can 4 people be seated in 10 chairs?

By stars and bars we have (5+3−15−1)=(74) number of ways to do so. Multiplying by the number of ways to arrange the persons themselves among the seats labeled P we have a total of 4! (74)= 7P4=840 arrangements, same as the other answer. You have 10 chairs, 4 individuals.

How many ways can 4 people be seated in a circle of 6 chairs?

1st person can be seated in 6 ways , 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways. Required number of ways =(6×5×4×3)=360.

How many ways can 6 people sit in 6 chairs?

Answer and Explanation: There are 720 ways to seat 6 people in a row.

How many ways can 6 persons be seated in a row?

720
Hence, total number of ways in which six persons can be seated in a row = 6×5×4×3×2×1=720.

How many ways can 6 people be seated in 6 chairs?

Answer and Explanation: There are 720 ways to seat 6 people in a row. Each seating of 6 people is simply a different ordering of the 6 people in the group.

How many ways can 6 persons be seated around a circular table?

So the number of ways 6 people can be seated around a round table becomes 1x5x4x3x2x1=120.

How many ways can 6 people be seated in a circle?

Originally Answered: How many ways can 6 students sit around a circular table? There are 5! or 120 ways for that.

How many ways can 6 people arranged in a row?

6 people can be arranged in a row in 6! = 720 ways. Let us say there are 6 seats. The first seat can be occupied by 6 people.

How many ways can you arrange 6 people in a round table?

Example 1 In how many ways can 6 people be seated at a round table? Solution As discussed in the lesson, the number of ways will be (6 – 1)!, or 120.

How many ways can 6 people sit?

How many ways can six people be seated in six seats if the first seat is always occupied by the same person?

720 ways
Therefore, 720 ways are there for six people to sit in a six-passenger car.

How many ways can you make people sit on different seats?

Your answer is correct if the order of the people themselves also matters; otherwise not. When the order in which the people themselves sit doesn’t matter, then all you are required to do is choose any 6 seats and make anyone sit on any of those 6 chosen seats. The number of ways this can be done is 10 C 6.

How many ways can 6 people be seated around a round table?

Since seat A can be filled only by one person ( first person, our reference), seat B can be occupied by any of the remaining 5 ( anyone but first person who already occupied A), seat C can be occupied by any of the remaining 4 and so on.. So the number of ways 6 people can be seated around a round table becomes 1x5x4x3x2x1=120.

How many different arrangements can you make with 10 seats?

Pick one of 10 people to fill a seat. Now pick one of the remaining 9 people to fill the next seat clockwise, and so on. That makes 10⋅9⋅…⋅2⋅1=10! different arrangements in all. But there are 10 arrangements in each equivalence class, which you can get by rotating an arrangement by 0 to 9 seats. (If you rotate it by 10 seats it’s the same again.)

Can 5 people sit next to each other in a plane?

If all of them want to sit next each other then there are only 3 possibilities considering there are 3 rows of seats with 5 seats in each row. If the seats are arranged in a way that 2 seats in a row which ends up with 6 rows of 2 seats and one row with 3 seats. In this scenario all 5 of them can’t sit next to each other.