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) About Me  (Show Source):
You can put this solution on YOUR website!
The alternating pattern can be:
BGBGBG
or
GBGBGB
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If you number the girls:
123
There are +3%21+=+6+ ways to arrange them:
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There are also +3%21+=+6+ ways
to arrange the boys
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So, there are +3%21+%2B+3%21+=+12+
ways to arrange boys and girls
for BGBGBG
and also +12+ ways for GBGBGB
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That is 24 possible ways to seat 3 boys
and 3 girls by alternating them