Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
There are 10,080 different ways in which the friends can seat on the circular table.
In how many ways the friends can seat?
There are 9 friends, such that two of them need to be separated by exactly two people.
Because the table is circular, we can consider the first position as the position where Bob is.
Now let's count the number of options for each of the other 8 positions. (counting to the left).
The next two positions have 7 and 6 options respectively (as these can be taken by any of the other 7 friends)
For the next seat, we could seat Anna or one of the remaining 5 friends.
Let's assume we seat Anna there, then for each of the next positions, we will have, respectively, 5, 4, 3, 2, 1 options.
The total number of combinations is given by the product between the numbers of options, so we have:
C = 7*6*5*4*3*2*1
But we also need to consider the case where Anna is on the first position (and Bob on the third), so we just need to add a factor equal to 2.
C = 2*(7*6*5*4*3*2*1) = 10,080
There are 10,080 different ways in which the friends can seat on the circular table.
If you want to learn more about combinations:
https://brainly.com/question/11732255
#SPJ1
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.