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There are N boys in a class at school. For every 2 boys in the class, there are 3 girls in the class. 3 students are chosen at random and taken out of the class.Given that the probability of choosing 3 boys is 1/30, show that 23n^2 - 114n + 88 = 0.

Can someone go through this step by step.
(edited 6 years ago)
Original post by Yusaf786
There are N boys in a class at school. For every 2 boys in the class, there are 3 girls in the class. 3 students are chosen at random and taken out of the class.Given that the probability of choosing 3 boys is 1/30, show that 23n^2 - 114n + 88 = 0.

Can someone go through this step by step.



As soon as you take one boy out of the class, the ratio of the remaining class is no longer exactly 3/2.
N = number of boys in class.
G = number of girls in class = 3/2*N
Im sure you can work the rest out by yourself. If not OP please do let me know! Thank you. :smile:
(edited 6 years ago)
Reply 2
Original post by MiszShortee786
x

For maths questions there is a "no full solution" rule. Please see here.

It would be great if you could edit your post to just give hints or part of the solution. And please continue to help students on TSR with maths questions :smile:
(edited 6 years ago)
Original post by Notnek
For maths questions there is a "no full solution" rule. Please see here.

It would be great if you could edit your post to just give hints or part of the solution. And please continue to help students on TSR with maths questions :smile:


Oops sorry. Edited now. Please do so from your side too.

Yes I dont mind. Thank you. :smile:

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