Eight Bike
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help with a math problem?
in a bikeshed you can place eight bikes. five girls and three boys place their bikes there. how many combinations can you make if the first and the last bike is a girls bike?
i know that that makes it 6 places, 3 girls and 2 boys
but i don't remember how to figure it out |: help?
*3 girls and 3 boys
not 3 girls and 2 boys 
Two types of bikes, in 6 places, 3 of each type.
Number the places 1-6.
Then there are 6C3 = 6 * 5 * 4 / (1 * 2 * 3) ways to choose
the three numbers of the places where the girls' bikes will go.
20.
A second way to do it is:
6 P 3 / (3P3 * 3P3) which gives the same result.
.
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Eight Bike
Eight Bike