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OpenStudy (anonymous):
A group of 8 boys and 6 girls are to stand in a straight line for a photograph. In how many ways can these 14 children be arranged so that none of the girls stand next to each other?
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OpenStudy (anonymous):
\( \large ^9P_6 \times 8! = \cdots \)
OpenStudy (anonymous):
@FoolForMath how did you get that?
OpenStudy (anonymous):
There are 9 places for 6 girls to go so that no girls would be together.
OpenStudy (anonymous):
2438553600
OpenStudy (anonymous):
but there are only 7 places available so that the girls are not together
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OpenStudy (anonymous):
_B_B_B_B_B_B_B_B_
OpenStudy (anonymous):
two boys could be together too and yet the girls will be separated...
OpenStudy (anonymous):
_BB_B_B_B_B_B_B_
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