In how many ways can 8 people be seated around a circular table if 2 people aren't aloud to sit next to each other?

3600

Step-by-step explanation:

Given that there are 8 people to be seated around a circular table.

As per formula:

Number of ways that they n people can sit around a circular table =

We know that 2 people of out of these 8 are not allowed to sit together.

If we subtract the number of ways of these 2 people sitting together from the total number of ways of sitting of 8 people, we will get the number of ways that these 2 people do not sit together.

Number of ways of 2 people not sitting together = Total number of ways of 8 people sitting - Number of ways these 2 people sitting together.

Using formula:

Total number of ways =

Let these two people always sit together, so these 2 can be thought as one pair.

So, 6 people and 1 pair,

Total number of ways the 2 people sitting together =

Total number of ways that the two do not sit together =

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6