probability – 16 people, 8 men, 8 women, divide the group to 8 couples, what is the chance for exactly 3 male couples?

We have a group of 16 people, 8 men, 8 women.

We divide them to 8 couples.

Let $X$ Be the number of couples make of 2 men.

Calculate: $P(X = 3)$

I am not sure how to approach this.

I thought that this has an hypergeometric distribution.

Therefore i chose:

N = 16, n = 16, K = 8, k = 6


frac{binom{K}{k} binom{N-K}{n-k}}{binom{N}{n}}

But its wont gonna work.

Another way i thought is to choose the couples like this:

frac{binom{8}{2} binom{6}{2} binom{4}{2} binom{8}{1} binom{7}{1} binom{6}{2} binom{4}{2}}{frac{16!}{2^8}}

The logic wass:

enter image description here

But again its not working.

I would like some help

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Why do people say police brutality is a huge issue when a total of TEN unarmed black men have been killed by the police this year?

Probably because killing unarmed black men is not the only kind of police brutality.

Just the most publicized.

Also, claiming “no one cares” about other violence just make you look like an idiot.


Incidentally, the number you quote is a rate that’s on pace to increase last year’s total by 50%.  And that’s with three months of lockdown where people haven’t been outside much, and crime of all kinds is down dramatically.

Why did all black men killed by cops have criminal background?

If they had criminal backgrounds, it might’ve increased their desperation to avoid being detained by police in the fatal encounter…and thus left them believing they had nothing to lose by resisting arrest.

Or it could’ve been that they were treated more harshly by the police officer because that officer had a grudge against them.

The point ultimately is you have to examine every fatal encounter to determine why it happened the way that it did.

save – How can I start an online group for men named Gary and get people to join?

I am on a quest to rescue the name Gary from extinction.
I’d like to start an online communitt of Garys where we can meet up to discuss our efforts to keep the name alive. I’m having trouble finding the ideal forum and in actually being able to reach out to Garys across the globe to get them to join. Any suggestions?

Should women who falsely accuse men of rape be prosecuted for this?

Why? Because it wrongly destroys a man's reputation, casts a large shadow of doubt on all real rape victims, and doing nothing causes many bastard women to believe that they can make it and get away with it, which means that there are simply more cases of it will give. Why not? On the other hand, it can prevent real victims from speaking about their bad experiences when it is difficult enough for them to do so. It is terrible that a man is falsely accused and essentially wrongly accused of being destroyed, even if he is not sent to prison, it usually ruins a man's life and it is obviously terrible to be raped, and on top of that worse that you are so much doubted yourself thrown into jail. I as a man would see the latter as worse, but both are horrible scenarios, terrible scenarios created by bad men and bad women.