in how many ways can we seat 6 people at a round table if john and sam insist on sitting next to each other? (two seatings are equivalent if one is a rotation of the other.)

Respuesta :

If John and Sam insist on sitting next to each other, there are 48 different ways we can make a round table seat six people.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Here,

There is no head of the tabel so the first person is just a place marker so there are really only 5 people whose positions matter.

But John and sam are tied together so thet are the equaivalent of one person.

so that is only 4 people.

4!*2 (because it could be john, sam or sam, john)

2*3*4*2 = 48 permutations

In 48 ways we can make seat 6 people at a round table if john and sam insist on sitting next to each other.

To know more about permutations,

https://brainly.com/question/1216161

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