Permutations

posted by .

I am having trouble with this maths problem:

There are 8 people at a round table - 6 guests, 2 hosts. How many possible arrangements are there if the 2 hosts aren't allowed to sit next to each other.

Thanks

hint:
sit the two host first, then let the guest find their seats. So, there are 8 choices for the 1st host, 5 remaining choices for the 2nd host, 6 remaining choices for the 1st guest, 5 for the 2nd guest, and so on.

Take it from here.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. probability

    What is the probabbilty that two certain people sit next to each other at a round table?
  2. IP address assignment

    Imagine that you are a system administrator for a company, and that the company operates from two locations Phoenix and Boston. Phoenix has 350 hosts and Boston has 2100. Given that the following class C IP addresses have been assigned …
  3. Math

    Six people are going to sit in a row on a bench. Romeo wasnts to sit next to Juliet. Caesar does not want to sit next to Brutus. Homer and Pierre can sit anywhere. In how many ways can these people be seated?
  4. IST Subnetting

    You have 5 subnets with approximately 300 hosts on each subnet. Within the next 6 months, the number of subnets could increase to more than 100. The number of hosts on each subnet will probably never be more than 2,000. You do not …
  5. math

    A downtown auditorium hosts large events. The auditorium can seat 600 people at one time. The sponsors of an awards dinner are using the auditorium for 450 people. The chef has prepared meals for 3/4 of the usual 600 people. The pastry …
  6. Math

    There are 2015 people sitting at a table, each person belongs to one of the four group: student,professors, presidents and deans. Students hate professors, and will never sit next to them. Likewise for presidents and deans. Explain …
  7. math, permutations and combination

    1. A group of 25 lecturers include six mathematician. In how many ways can a committee of 4 be selected from this group to include at least one mathematician?
  8. mathematics

    1. Six people sit at a round table. in how many ways can that be done if two of them must sit next to each other?
  9. math

    Which strategies can be used to solve this problem?
  10. Math

    The school is having a big event in the gym and wants to use their rectangular tables. 6 people can sit together at one rectangular table. If 2 tables are placed together, 10 people can sit together. So the pattern I noticed is 4 people …

More Similar Questions