In how many ways can 6 people be seated at a round table if one of those seated cannot sit next to 2 of the other 5?	Choose the most appropriate option
A) 720
B) 120
C) 108
D) 84
E) 48
6 People in a round table can be seated in (6 - 1) ! ways = 120.   Now we need to subtract the number of cases when one of those is sitting next to 2 of the other 5.   We can consider as if 5 people are sitting in a row because it is round table.   Again consider 3 people, those who can not sit together, as a single unit â€“   So the possible arrangements among remaining people 5 â€“ 3 + 1 Unit are = 3 !   And the 3 people unit can arrange among themselves in 3 ! ways.   So the possible cases when one of those is sitting next to 2 of the other 5 = 3 ! * 3 ! = 36   Total possible cases = 120 -36= 
<gadget id="calculator">120 -36</gadget>
<output>84</output>
84 ANS:84
<result>D</result>
In how many ways can 6 people be seated at a round table if one of those seated cannot sit next to 2 of the other 5?