Boys and girls

There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that:

a) only boys went on the field trip
b) just 2 boys went on the field trip

Correct answer:

p1 =  0.2262 %
p2 =  28.5068 %

Step-by-step explanation:

C6​(17)=(617​)=6!(17−6)!17!​=6⋅5⋅4⋅3⋅2⋅117⋅16⋅15⋅14⋅13⋅12​=12376 C6​(8)=(68​)=6!(8−6)!8!​=2⋅18⋅7​=28  p1​=100⋅ (68+9​)(68​)​=100⋅ (68+9​)28​=22150​%=0.2262%
C4​(9)=(49​)=4!(9−4)!9!​=4⋅3⋅2⋅19⋅8⋅7⋅6​=126 C2​(8)=(28​)=2!(8−2)!8!​=2⋅18⋅7​=28  p2​=100⋅ (68+9​)(28​)⋅ (6−29​)​=100⋅ (68+9​)28⋅ (6−29​)​=2216300​%=28.5068%

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