SOLUTION: Consider a bench on which six student can sit .In how many ways can 3 girls and 3 boys sit on the bench if no girls sit next to one another and also no boys sit next to one another
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Question 879972: Consider a bench on which six student can sit .In how many ways can 3 girls and 3 boys sit on the bench if no girls sit next to one another and also no boys sit next to one another?it is related with permutation and combination Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The way I see it is:
You can have:
BGBGBG
or
GBGBGB
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In the 1st case, you have:
(1) 3 choices for a boy
(2) 3 choices for a girl
(3) 2 remaining choices for a boy
(4) 2 remaining choices for a girl
(5) 1 remaining choice for a boy
(6) 1 remaining choice for a girl
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In the 2nd case, you have:
(1) 3 choices for a girl
(2) 3 choices for a boy
(3) 2 remaining choices for a girl
(4) 2 remaining choices for a boy
(5) 1 remaining choice for a girl
(6) 1 remaining choice for a boy
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Possible seatings total:
72 possible ways
