four people can be selected... _ _ _ _= the four positions
there are <5> boys and <6> girls . in total there are 11 students to CHOOSE from..(so we're dealing with combination)
If there are going to be all boys, we can just look at the 5 guys..and REMEMBER THAT as we choose, the number of boys to choose from decreases by 1 AND the total numbr of students to choose from decreases by 1..logic
the possibility of the first being a guy is (5/11) i.e 5 boys out of the 11 students wanting to be picked
the possibility of the 2nd being a guy is (4/10) i.e 4 boys out of 10 students left
the possibility of the 3rd advisory committtee being a guy is (3/9) i.e 3 out of the 9 left
AND the possiblilty of the last pick being a guy AGAIN is (2/8) 2 guys out of the 8 students left
Therefore the possibilty of having all the students in the committee as guys will be;
(5/11) * (4/10) * (3/9) * (2/8) = 1/66
Simpler..using your calculator (required outcome/total possible outcomes)
5(combination function on calculator)4 / 11(combination function on calculator) 4 =1/66
I hope this was helpful