In how many ways can you seat 7 people on 7 similar chairs around a ROUND table? ( the chairs are not marked )
p.s : not for lutz
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In how many ways can you seat 7 people on 7 similar chairs around a ROUND table? ( the chairs are not marked )
p.s : not for lutz
49 unless the table can hold 50 people...
7! = 5040 or use Fundamental Counting Principle, : 7 chairs, so 7 x 6 x 5 x ..... 1
Answer is as evenson said, 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
all wrong
remember its a round table so shurt and eveson are close
Umm. If theres 7 chairs and 7 people, only one person can sit in each chair. Therefore, you have 7 options for the first chair, 6 for the next, 5 for the next and so on, regardless of shape
when its round and there are 7 people on 7 seats its 6! not 7! ( 7! is when theyre in line )
when its round and there are 7 people on 7 seats its 6! not 7! ( 7! is when theyre in line )[/b]
Uh, why?
(13:24:39) (+camaz0tz`) if u were playign musical chairswhen its round and there are 7 people on 7 seats its 6! not 7! ( 7! is when theyre in line )[/b]
(13:24:41) (+camaz0tz`) then id agree 6!
(13:24:45) (+camaz0tz`) cuz ud need to take away 1 chair
(13:24:47) (+camaz0tz`) so u can play
otherwise its 7! and ur wrong
(13:24:39) (+camaz0tz`) if u were playign musical chairs
(13:24:41) (+camaz0tz`) then id agree 6!
(13:24:45) (+camaz0tz`) cuz ud need to take away 1 chair
(13:24:47) (+camaz0tz`) so u can play
otherwise its 7! and ur wrong[/b]
XD Hes actually correct.
Given 6 people standing in a line, how many possible ways can they be arranged? Just like it seems. Therefore 6! = 720
The same 6 people are about to sit down at a round table for a meal. How
many different ways could they sit themselves?
Initially, you may think that the answer would be the same as the answer for the previous question. However, rotations will be considered identical, which means ABCDE = BCDEA, which was not the case when standing in a line. To solve, position A arbitrarily (1 choice). To seat the remaining 5 people, we can order them as usual. Therefore, there are 5! permutations.
P.s coolboys gay
evensons gayer
first and last are equal so you only take 1. ABCDEFGABCDEFG
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