Hello, I would like to know the solution of this question as well as the source

Question

Hello,
I would like to know the solution of this question as well as the source where I can find similar questions as below:

Of nine executives in a business firm, four are married, three have never married,
and two are divorced. Three of the executives are to be selected for promotion.
Let Y1 denote the number of married executives and Y2 denote the number of
never-married executives among the three selected for promotion. Assuming
that the three are randomly selected from the nine available, find the joint
probability function of Y1 and Y2 .

Thanks,
Robert

Explanation / Answer

selecting one executive from given 9 = 9 C 1 = 9 no of ways selecting Y1 = 4 C 1 = 4 no of ways selecting Y2 = 3 C 1 = 3 So no of ways of selecting Y1 & Y2 = 4+3 = 7 So the probability of Y1 & Y2 = 7/9

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