SOLUTION: 6 people will sit in pairs on 3 benches. How many possible ways can they be arranged? Like. 1 2 and 3 4 and 5 6 = 1 way 1 2 and 4 3 and 5 6 = 2 ways 1

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Question 388756: 6 people will sit in pairs on 3 benches. How many possible ways can they be arranged?
Like.
1 2 and 3 4 and 5 6 = 1 way
1 2 and 4 3 and 5 6 = 2 ways
1 2 and 3 4 and 6 5 = 3 ways
1 3 and 2 4 and 5 6 = 4 ways
Found 2 solutions by Edwin McCravy, sudhanshu_kmr:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
It doesn't matter that there are 3 benches.
It doesn't matter that they sit in pairs.  
That was put in there just to throw you off.

All that matters is that there are 6 places for 6 people to sit.
The problem would be the same if there were 6 chairs in a row.

That's 

6 things, Position 6

or 

6P6

or

6!

or

720 ways

Edwin
Answer by sudhanshu_kmr(1152)   (Show Source): You can put this solution on YOUR website!

here there are 6 positions and 6 persons so,
total no. of ways of arrangement = 6P6
= 6!
= 720

so, total 720 ways.....







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