SOLUTION: A round table has 16 chair around it.if no two persons can sit adjacent, then at most many persons can sit around this round table ? A) 6 B) 8 C) 7 D) 16

Question 1042382: A round table has 16 chair around it.if no two persons can sit adjacent, then at most many persons can sit around this round table ?
A) 6
B) 8
C) 7
D) 16
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Imagine 16 slots (slot1,slot2,...,slot16) laid out. The first slot is occupied by a person. So slot2 must be empty. Also, slot16 must be empty as well because the slots wrap around.

Slot3 will be filled and slot4 will be empty. Slot5 will be filled with slot6 empty. This pattern continues to get this complete seating chart

slot1 = filled
slot2 = empty
slot3 = filled
slot4 = empty
slot5 = filled
slot6 = empty
slot7 = filled
slot8 = empty
slot9 = filled
slot10 = empty
slot11 = filled
slot12 = empty
slot13 = filled
slot14 = empty
slot15 = filled
slot16 = empty

Count up the number of times you see "filled" shown above. There are 8 chairs that are filled and 8 chairs that are empty.

So the final answer is choice B) 8

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A round table has 16 chair around it.if no two persons can sit adjacent, then at most many persons can sit around this round table ?
A) 6
B) 8
C) 7
D) 16
------------
Ans:: 8
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Cheers,
Stan H.
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