QA

How Many Ways Can 6 People Sit On A Bench If 3 Of Them Have To Sit Side By Side

How many ways can 6 People sit on a bench if 3?

In how many ways can 6 people sit in 3 chairs? – Quora. You have six choices for chair one, 5 choices for chair 2 and 4 choices for chair 3. So the answer is 6 x 5 x 4 = 120. This is a permutation 6P3.

How many ways can 3 people sit on bench?

3 people for one group can be chosen in 28C3 ways.

How many people can sit in a bench?

There is no exact number, as 5 children will not take up the same seat space as 5 large adults. Typically, you should allocate 18 inches per person. So a 6ft bench will seat approximately 4 people.

How many ways can 8 people sit in 3 chairs?

In math, the number n(n-1)(n-2)…1 is designated as n! and pronounced n factorial. 8! = 40320.

How many ways can 8 people sit in 5 chairs?

Mathematically, this is 8x7x6x5x4, which equals 6,720.

How many arrangements are possible if the youngest child sits at the left hand end of the bench?

Answer: the position of one in this case, the youngest child is fixed, it is as good as arranging the rest of the 7, which can be done in 7! = 5040 ways.

How long is a 3 person bench?

Most benches range in length from 42” to 60”. A dining bench that measures 42” to 52” will seat two adults or three kids nicely. Benches 53” to 83” can seat three adults. The space between table legs is also an important measurement, especially if you want to tuck your dining bench neatly under the table.

How many people can fit on a 4ft bench?

Designed to sit up to four people, the Run 4-Seat bench is a simple take on a bench that has meticulous attention to detail on the materials it uses. No visible joints or connections are seen on the bench making it a beautiful piece of furniture within a dining or resting space.

How many people can sit on an 8 bench?

The benches are a functional alternative for ceremony and farm table seating. Made of white pine and comfortably seat up to 6 guests on their 8 ft.

How many ways can 7 people be seated in 5 chairs?

There are _7C5=7! 5! ⋅2! =21 ways of choosing which 5 chairs from the 7 will have people sitting in them.

How many ways can 8 people be seated in 8 chairs?

Originally Answered: In how many ways can eight people be seated in a row of eight sits so that two person are always together? There are 8! (or 40,320) ways of seating 8 people in 8 seats. And if 8 people are sitting in the 8 seats, then there are DEFINITELY going to be 2 of them sitting together.

How many ways can people sit in a row of chairs the number of ways people can sit in a row of chairs is?

There could be 3628800 possible arrangements. Take the seat numbers as 1,2,3,4,5,6.

How many ways can 2 people sit in 8 chairs?

We need to multiply the permutation above by 2, since the two people insisting to sit next to each other has a choice if they are to be seated left or right of each other. Therefore, there are 10080 possible ways for eight people to be seated in a row of 8 chairs if two people insist on sitting next to each other.

How many ways can 5 persons occupy 3 seats?

Therefore, the number of possible solutions is 60.

How many ways can 5 people?

5 people can line up in 5!= 120 different ways.

What is a good bench height?

The standard bench height is 18″ – 20″. This height is suitable for a bench at a dining room table. Note that bench height refers to the distance from the seat to the ground.

How tall are bench legs?

LEGS should be 2 inches square*, 16-18 inches in height. (The length can vary depending on your design.) *Remember that multiple pieces can be glued together to achieved desired thickness for the legs. The TOP should be at least 10 x 36 x 1.

How many people fit on a 5ft bench?

If you’re thinking of placing a bench at the bottom of your garden for your family to enjoy, a 5ft garden bench is the perfect length; seating around 2-3 people.

How many people does a 180cm bench seat?

The generous size of the bench with its width of 180cm can comfortably accommodate up to four people.

How many people fit on a 6ft picnic table?

The industry standard is 18 inches of seat space per person, so a 6ft rectangular picnic table can seat 8 people. This will vary depending on the size of the people sitting; kids will require less than 18 inches and larger adults may require more.

How many people does a 72 table have?

Stretching the length to 72″ will allow you to comfortably seat 8 people, and increasing the size to 72″ x 48″ will allow you to comfortably seat 10.

How many people can sit on a 90 bench?

You can even use dining benches to squeeze a few more people around your table. Tables that measure 90 inches and above are best for comfortably seating 8 or more people.

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

“In how many ways can 6 people sit around a circular table?” It is 120.

How many ways can a group of 6 people be seated around a table if 2 of them insist on sitting beside each other?

So the 2 students that insist on sitting next to each other can sit at 1,2 or 2,3, or 3,4 or 4,5, or 5,6 (5 possibilities). So there are 5 * 4! = 5 * 24 = 120 ways that the 6 students can be seated.

How many ways May 7 students be seated in a row of 7 chairs for a pictorial?

So there are 5040 ways of arranging seven people in a row of seven chairs.

How many ways can 6 people sit in 8 seats?

The first person has 6 to choose from, the second has 5, and so on…so that the number of ways would be: 6•5•4•3•2•1=720. Multiply the two numbers! 720•28 would be… 20160 ways.

How many ways can 8 students sit in a row?

If A sits in seat 8, the calculation is the same as when A sits in seat 1, or 720 possible arrangements.