24
Chat with our AI personalities
All I know is that each person can sit on a chair. There aren't many ways with the details you said. There might be 2 chairs with 2 people on each chair. There really only is one way.
(b) A tea party is arranged for 16 persons along two sides of a table with 8 chairs on each side. 4 persons wish to sit on on particular side and 2 on the other side. In how many ways can they be seated? (
7!(6*2*5*4*3*2*1)
There are 480 ways. The simplest way to get the answer is to find the total number of ways that they can sit and, from that, subtract the number in which A and B are next to one another. Total number of ways = 6! = 6*5*4*3*2*1 = 720. Now suppose A and B are next to one another. Treat AB as a single unit, and then the total number of ways is 5! = 5*4*3*2*1 = 120. But A and B can be next to one another in two ways: AB and BA. So, the total number of ways with A and B next to one another is 2*120 = 240. That leaves 720 - 240 = 480 ways in which the six can sit in a row with A and B not together.
hi i feel hot