SOLUTION: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls?
Algebra ->
Permutations
-> SOLUTION: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls?
Log On
Question 440208: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! They can be seated
(1) b g b g b g
or
(2) g b g b g b
-------------
In (1), there are 3 boys that can be 1st
That leaves 2 boys that can be 2nd,
1 boy that can be 3rd
There are possibilities
The same is true for the girls, so there are ways the boys and girls can be seated
-------------------
(2) follows the same rules, so the total number of
seating arrangements is
You probably should get a second opinion, too.
These things are tricky.
