SOLUTION: In how many ways can a group of 3 boys and 3 girls be seated in a row of 6 seats if boys and girls must alternate in the row?
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Question 900978: In how many ways can a group of 3 boys and 3 girls be seated in a row of 6 seats if boys and girls must alternate in the row?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The alternating pattern can be:
BGBGBG
or
GBGBGB
---------
If you number the girls:
123
There are ways to arrange them:
-------------
There are also ways
to arrange the boys
-------------------
So, there are
ways to arrange boys and girls
for BGBGBG
and also ways for GBGBGB
---------------
That is 24 possible ways to seat 3 boys
and 3 girls by alternating them
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